Question

The perimeter of an isosceles triangle is 15.6m. Find the lengths of its sides, if: The base is 3m smaller than a leg ____m, ___m, _____m

Answer 1

we know that

An isosceles triangle is a triangle with two equal sides and two equal angles

Let

x-------> the length of the equal sides

y-----> the length of the base

`y=x-3` -----> equation A

The perimeter of an isosceles triangle is equal to

`P=2x+y`

`P=15.6\ m`

so

`15.6=2x+y` ------> equation B

substitute equation A in equation B

`15.6=2x+[x-3]`

`15.6=3x-3`

`3x=18.6`

`x=6.2\ m`

Find the value of y

`y=x-3`

`y=6.2-3=3.2\ m`

therefore

the answer is

The dimensions of the triangle are

`leg1=6.2\ m`

`leg2=6.2\ m`

`base=3.2\ m`