Question

1) Base of an isosceles triangle is five more than three times the equal sides and perimeter of the triangle is 75 cm. Find the lengths of the sides of the triangle.

Answer 1

Equal sides of triangle = 14 cm

Base of an isosceles triangle = 47 cm

Explanation:

Given:

Perimeter of the triangle = 75 cm

Base of an isosceles triangle = five more than three times the equal side

Find:

Lengths of isosceles triangle

Computation:

Assume;

Equal sides of triangle = a

So,

Base of an isosceles triangle = 3a + 5

Perimeter of the triangle = Base of an isosceles triangle + 2[Equal sides of triangle]

Perimeter of the triangle = 3a + 5 + 2[a]

Perimeter of the triangle = 5a + 5

75 = 5a + 5

5a = 70

a = 14

Equal sides of triangle = 14 cm

Base of an isosceles triangle = 3a + 5

Base of an isosceles triangle = 3(14) + 5

Base of an isosceles triangle = 42 + 5

Base of an isosceles triangle = 47 cm