{"id":5570,"date":"2021-12-09T16:15:20","date_gmt":"2021-12-09T16:15:20","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=5570"},"modified":"2021-12-14T12:43:23","modified_gmt":"2021-12-14T12:43:23","slug":"area-of-scalene-triangle-formula-solved-examples","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/area-of-scalene-triangle-formula-solved-examples\/","title":{"rendered":"Area of Scalene triangle \u2013 Formula, Solved Examples"},"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
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Area of Scalene triangle \u2013 Formula, Solved Examples<\/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

Area of Scalene Triangle:<\/b><\/h2>\n

A scalene triangle is a type of triangle in which all three sides of the triangle have different lengths of measurement. The angles of a scalene triangle have different measurements as well.<\/span><\/p>\n

The area of a scalene triangle refers to the amount of area enclosed by the three sides of the triangle. In this article, we will get to know different formulas and methods to calculate the area of a scalene triangle.<\/span><\/p>\n

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

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

Formula List:<\/b><\/h2>\n

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

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

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

Q1) What is the area of a right-angled triangle with height & base 3 cm and 4 cm respectively?<\/b><\/p>\n

A:<\/strong> The area of a right-angled triangle with sides 3 cm and 4 cm is:<\/span><\/p>\n

A=1 \/ 2 \\times b \\times h=6 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

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

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

Q2) What is the area of a triangle with sides 8cm, 12cm, and 16cm?<\/b><\/p>\n

A:<\/strong> The area of a triangle with sides 8 cm, 12 cm and 16 cm is: <\/span><\/p>\n

A = \u221a[s(s \u2212 a)(s \u2212 b)(s \u2212 c)] = 46.47 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

Where, s = (a +b +c)\/2 = (8 + 12 + 16)\/2 = 18.<\/span><\/p>\n

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

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

Q3) What is the area of a triangle with two sides 4cm and 6cm, enclosing an angle of 30 degrees between them?<\/b><\/p>\n

A:<\/strong> The area of a triangle with sides 4 cm, 6 cm, and angle 30\u25e6 is:<\/span><\/p>\n

A=1 \/ 2 \\times a \\times b \\times \\sin \\theta=6 \\mathrm{~cm}^{2}<\/span><\/span><\/p>\n

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

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Explore Other Topics<\/h1>\n

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

    Q1. What is a scalene triangle?
    <\/strong><\/h3>\n

    Ans: <\/strong>A scalene triangle is a type of triangle which has all three sides of different measurements.
    <\/span><\/span><\/p>\n

    Q2. What is the area of a scalene triangle given sides ‘a’, ‘b,’ ‘c’?
    <\/strong><\/h3>\n

    Ans: <\/strong>The area of a scalene triangle given sides \u2018a\u2019, \u2018b\u2019, \u2018c\u2019 is A =\u221a[s(s \u2212 a)(s \u2212 b)(s \u2212 c)]( \u2018s\u2019 is semi perimeter).<\/span><\/p>\n

    This is Heron\u2019s formula for finding the area of a triangle.<\/span><\/span><\/p>\n

    Q3. What is the area of a triangle with two sides \u2018a\u2019, \u2018b\u2019 and included angle \u0472?
    <\/strong><\/h3>\n

    Ans: <\/strong>The area of a triangle with two sides \u2018a\u2019, \u2018b\u2019 and included angle \u0472 is \u00bd x a x b x sin\u0472.<\/span><\/p>\n

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

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