Answer:
The length of the equal side is 27 meters each and that of the unequal side is 36 meters
Step-by-step explanation:
An isosceles triangle is a triangle with two sides being equal (also two equal base angles).
Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:
x + x + y = 90
2x + y = 90
But the length of the equal side is three fourth of the unequal side, i.e x = 3/4y
Therefore:
2(3/4y) + y = 90
3/2y + y = 90
2.5y = 90
y = 90/2.5
y = 36 meters
Also x = 3/4 * 36 = 27 meters
The length of the equal side is 27 meters each and that of the unequal side is 36 meters
