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

leg 1 is 15.6 meters. 15.6-3 is 12.6. And the last leg is 15.6

Answer 2

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

$leg1=6.2\ m$

$leg2=6.2\ m$

$base=3.2\ m$