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The perimeter of an isosceles triangle is 21 cm. The length of each equal side is triple
the length of the base. Find the side lengths of the triangle.

Respuesta :

Let the length of the base of this isosceles triangle be = x

One of its equal sides = 3x

Another one of its equal sides = 3x

Their perimeter = x + 3x + 3x = 21 cm

To find the value of each side let us first solve this equation .

= x + 3x + 3x = 21 cm

= 7x = 21 cm

= x = 21 ÷ 7 ( transposing ×7 from LHS to RHS changes ×7 to ÷7 )

= x = 3

Then length of base = 3 cm

Length of one equal side = 3 × 3 = 9 cm

Length of another equal side = 3 × 3 = 9 cm

Therefore , the the three sides of this triangle = 3 cm , 9 cm and 9cm .