{"id":6623,"date":"2021-12-24T07:28:32","date_gmt":"2021-12-24T07:28:32","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=6623"},"modified":"2022-01-03T07:30:55","modified_gmt":"2022-01-03T07:30:55","slug":"perimeter-of-triangle-concept-formula-examples-faq","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/perimeter-of-triangle-concept-formula-examples-faq\/","title":{"rendered":"Perimeter of Triangle – Concept, Formula, Examples, FAQ"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.13.1″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n

Perimeter of Triangle – Concept, Formula, Examples, FAQ<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n

What is the Perimeter of a Triangle?<\/b><\/h2>\n

The perimeter of a triangle represents the sum of all three sides of the triangle. The total length of any two-dimensional figure is called its perimeter.<\/span><\/p>\n

 <\/p>\n

The Perimeter of a Triangle Formula<\/b><\/h2>\n

We can calculate the perimeter of a triangle by adding the lengths of the three given sides.<\/span><\/p>\n

So, the perimeter of triangle formula = sum of the lengths of three sides of the triangle.<\/span><\/b><\/p>\n

Now we will understand this formula for the different types of triangles.<\/span><\/p>\n

 <\/p>\n

The Perimeter of the Scalene Triangle<\/b><\/h2>\n

A scalene triangle has three sides measuring different lengths. We can calculate the perimeter of a scalene triangle by calculating the sum of all the sides.\u00a0<\/span><\/p>\n

\"\"<\/span><\/p>\n

<\/span><\/p>\n

The formula for the perimeter of a scalene triangle = (a + b + c), where a, b, and c are the lengths of the sides of the triangle.<\/span><\/p>\n

 <\/p>\n

The Perimeter of the Isosceles Triangle<\/b><\/h2>\n

A triangle that has two sides of the same length and one side of a different length is called an isosceles triangle. We can calculate the perimeter of an isosceles triangle by finding the sum of its sides.\u00a0<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

<\/span><\/p>\n

The formula for the perimeter of an isosceles triangle = (l + l + b) = (2l + b)<\/span><\/p>\n

Where,<\/span><\/p>\n

l = length of equal sides<\/span><\/p>\n

b = length of the third side<\/span><\/p>\n

 <\/p>\n

The Perimeter of the Equilateral Triangle<\/b><\/h2>\n

If a triangle has all the sides of equal measure, it is an equilateral triangle. We can calculate the perimeter of an equilateral triangle by the formula given below:<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

<\/span><\/p>\n

The perimeter of an equilateral triangle = (a + a + a) = (3 \u00d7 a)<\/span><\/p>\n

Where, a = length of any of the sides of the equilateral triangle.<\/span><\/p>\n

 <\/p>\n

The Perimeter of a Right-Angled Triangle<\/b><\/h2>\n

A right-angled triangle has one of the angles as 90\u00ba. We can calculate the perimeter of a right-triangle by adding the length of its sides.\u00a0<\/span><\/p>\n

The formula to calculate the perimeter of a right-angled triangle is:<\/span><\/p>\n

<\/span><\/p>\n

\"\"<\/span><\/p>\n

<\/span><\/p>\n

Perimeter of a right-angled triangle = (a + b + c)<\/span><\/p>\n

Where a, b, and c = the lengths of the sides<\/span><\/span><\/p>\n

Since this is a right-angled triangle, we can use the Pythagoras theorem to find the length of any side which is not known. From the figure given above:<\/span><\/span><\/p>\n

a = Perpendicular of the right triangle<\/span><\/p>\n

b = Base of the right triangle<\/span><\/p>\n

c = Hypotenuse of the right triangle<\/span><\/span><\/p>\n

Hence, using the Pythagoras theorem, we get\u00a0<\/span><\/p>\n

c^{2}=a^{2}+b^{2} <\/span>
\\text { or } c=\\sqrt{( a^{2}+b^{2})}\n<\/span>
<\/span><\/p>\n

Now, we can write the perimeter of a right triangle as<\/span><\/p>\n

=\\left\\{a+b+\\sqrt{\\left(a^{2}+b^{2}\\right)}\\right\\}<\/span><\/span><\/p>\n

<\/span><\/p>\n

<\/span><\/p>\n

Examples\u00a0<\/b><\/h2>\n

<\/b><\/p>\n

<\/b><\/p>\n

1. Find the perimeter of a triangle if the sides are 6 cm, 5 cm, and 3 cm?<\/span><\/h3>\n

Solution: <\/strong>Since all the three sides are unequal, it is a scalene triangle.<\/span><\/p>\n

Let,<\/span><\/p>\n

a = 6 cm<\/span><\/p>\n

b = 5 cm<\/span><\/p>\n

c = 3 cm<\/span><\/p>\n

perimeter of a scalene triangle = (a + b + c) = 6 +5 + 3 = 14<\/span><\/p>\n

Therefore, the answer is 14 cm.<\/span><\/p>\n

<\/span><\/p>\n

<\/span><\/p>\n

2.\u00a0 Find the perimeter of a triangle if each side is 10 cm?<\/span><\/h3>\n

Solution:<\/strong> Since all three sides are equal in length, this is an equilateral triangle.<\/span><\/p>\n

Which means a = b = c = 10 cm.<\/span><\/p>\n

Perimeter of an equilateral triangle\u00a0<\/span><\/p>\n

= a + b + c<\/span><\/p>\n

= 10 + 10 + 10<\/span><\/p>\n

= 30 cm<\/span><\/p>\n

Therefore, the answer is 30 cm.<\/span><\/p>\n

[\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics
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Explore Other Topics<\/h1>\n

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Geometry<\/a><\/div>\n
Trigonometry<\/a><\/div>\n
Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

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Related Concepts<\/h1>\n

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\n
Angle Sum Property of a Triangle<\/a><\/div>\n
Area of an Isosceles Right Triangle<\/a><\/div>\n
Mensuration Formula<\/a><\/a><\/div>\n<\/div>\n

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Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
    <\/ol>\n

    Q1.\u00a0<\/strong>What do you understand about the perimeter of a triangle?<\/b><\/h3>\n

    Ans:\u00a0<\/strong><\/span>The total length of all the sides of a triangle is the perimeter of the triangle. In other words, the perimeter of a triangle is the sum of all sides\u2019 length of the triangle.<\/span>\u00a0<\/p>\n

    Q2.\u00a0<\/strong>How to calculate the perimeter of a triangle?<\/b><\/h3>\n

    Ans:\u00a0<\/strong>We can calculate the perimeter of a triangle by adding the length of its sides. For example, if a triangle has sides a, b, and c, then (a + b + c) will be the perimeter of that triangle.<\/p>\n

    Q3.\u00a0<\/span>State the formula for perimeter of an Isosceles triangle?<\/b><\/h3>\n

    Ans:\u00a0<\/strong>A triangle with two sides of the same length and one side of a different length is called an isosceles triangle. The formula for the perimeter of an isosceles triangle = (2l + b)<\/p>\n

    where,<\/p>\n

    l = length of equal sides<\/p>\n

    b = length of the third side.<\/p>\n

    [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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