The given problem is "In an isosceles triangle, the uneven side is 8 cm shorter than each of the equal sides. Calculate the sides of the triangle knowing that the perimeter is 31 cm.
To find,
The sides of the triangle.
Solution,
Let each of equal sides are x.
The unequal sides is x-8.
Perimeter is the sum of all the sides. So,
31 = x+x+x-8
31+8=3x
3x = 39
x = 13
So, the equal sides are 13 cm.
Unequal side = x-8
= 13-8
= 5 cm
Hence, two of the equal sides are 13 cm and unequal side is 5 cm.