Area of Scalene triangle – Formula, Solved Examples

Area of Scalene Triangle:

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.

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.

Formula List:

Examples:

Q1) What is the area of a right-angled triangle with height & base 3 cm and 4 cm respectively?

A: The area of a right-angled triangle with sides 3 cm and 4 cm is:

A=1 / 2 \times b \times h=6 \mathrm{~cm}^{2}

Q2) What is the area of a triangle with sides 8cm, 12cm, and 16cm?

A: The area of a triangle with sides 8 cm, 12 cm and 16 cm is:

A = √[s(s − a)(s − b)(s − c)] = 46.47 \mathrm{~cm}^{2}

Where, s = (a +b +c)/2 = (8 + 12 + 16)/2 = 18.

Q3) What is the area of a triangle with two sides 4cm and 6cm, enclosing an angle of 30 degrees between them?

A: The area of a triangle with sides 4 cm, 6 cm, and angle 30◦ is:

A=1 / 2 \times a \times b \times \sin \theta=6 \mathrm{~cm}^{2}