Question

17. The base of an isosceles triangle is 12 cm and its perimeter is 32 em. Find the area of the
triangle. i want the full explqnation and solution
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Answer 1

Step-by-step explanation:

As it is an isosceles triangle,it will have to sides of equal length. So if the length of one side is

x.As triangle has 3 sides. it's base is given. And because it is an isosceles triangle the remaining two sides will be of equal length.

So let assume the two sides to be 2x.

Perimeter of triangle= Sum of length of all the

sides.

12 + 2x = 32

2x = 32 -12

2x=20

x = 20/2

x = 10 cm.

So length of two sides is 10 cm and one side.ie

base 12 cm.

Area of triangle without height.

S = a + b + c /2( Where a,b and C are the sides of the triangle).

S= 12+10 10/2

S= 32/2

s= 16 cm

Area of triangle =√s(s-a)(s-b)(s-c).(Put the values and find out the answer then you will find the answer..