Question

Find the area of the isosceles triangle.
13 cm
10 cm
​

Answer 1

Area of the triangle = 60 cm²

Explanation:

Two equal sides of the given isosceles triangle measure 13 cm.

Third side of the triangle = 10 cm

Since, formula to get the area of a triangle with given three sides is given by,

Area =
`√(s(s-a)(s-b)(s-c))`

Where a, b and c represent the sides of the triangle

And s =
`(a+b+c)/(2)`

For the given isosceles triangle,

s =
`(13+10+13)/(2)`

s = 18

(s - a) = (18 - 13) = 5 cm

(s - b) = (18 - 10) = 8 cm

(s - c) = (18 - 13) = 5 cm

Substituting these values in the formula,

Area of the triangle =
`√(18* 5* 8* 5)`

=
`√(3600)`

= 60 cm²

Therefore, area of the given isosceles triangle is 60 square cm.