A piece of wire 78 cm long is bent in the form of an isosceles triangle If the ratio of one of the e...........

Quantitative Aptitude ( CCS) Mensuration 2D

A piece of wire 78 cm long is bent in the form of an isosceles triangle. If the ratio of one of the equal sides to the base is 5 : 3, then what is the length of the base?

16 cm

18 cm

20 cm

30 cm

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Explanation:

Let the sides of isosceles triangle is 5x, 5x and 3x cm respectively.
By given condition,
Perimeter of isosceles triangle = Length of wire
⇒ 5x + 5x + 3x = 78
⇒ 13x = 78
⇒ x = 6 cm
∴ Length of base = 3x = 3 × 6 = 18 cm