Question

The base of an isosceles triangle is 12 centimetre and its perimeter is 32cm find its area

Answer 1

2x+12=32
2x=32-12
2x=20
X=10

Answer 2

Answer:

48 cm ²

Step-by-step explanation:

Base of the isosceles triangle = 12cm

Perimeter of the isosceles triangle = 32cm

Length of one side of the isosceles triangle = x

Length of two sides of the isosceles triangle = 2x (2 sides of an isosceles triangle excluding the base are equal)

Perimeter of a triangle = Sum of all the sides

According to the question,

2x+12=32

2x=32-12

2x=10

x=10/2

x=5

Height using pythagoras theorem  

Let h be height  

h²=100-36

h²=64

h=8

Area=1/2×base× height  

=1/2×12×8

=48 cm ²

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