Question

Base of an isosceles is 14 cm and its perimeter is 36 cm find its area

Answer 1

Since opposite side are equal in a Isis triangle , let equal ides be 2x

2x + 14 = 36

2x = 36-14

2x =22

x = 22/2

x = 11

By using HERON'S FORMULA you can arrive the final answer

So the sides are 11,11,14

Answer 2

Let the two sides of isosceles Δ be x and x.

Base of the Δ = 14cm

Perimeter = 36cm

Perimeter of Δ = sum of sides

So,

=> x+x+14=36

=> 2x+14=36

=> 2x=36-14

=> x=22/2

=> 11

So the sides of the Δ are 11cm, 11cm, and 14cm.

Semi perimeter of Δ = perimeter/2

=> 36/2

=> 18 cm

Area using Heron's Formula = √s(s-a)(s-b)(s-c)

So area,

=> √18(18-11)(18-11)(18-14)

=> √18×7×7×4

=> √3528 cm²

=> 59.3969696 cm²

Hope the answer is helpful !!

Good Day !!