Q15 of 97 Page 786

The base and height of a triangle are in the ratio 3 : 4 and its area is 216 cm2. The height of the triangle is

Given:


Base: Height = 3: 4


Area = 216 cm2


Let,


Base = 3x


Height = 4x



We know that,


Area of a triangle = 1/2 × base × height


⇒ 216 = 1/2 × 3x × 4x


⇒ 216 × 2 = 12x2


⇒ 12 x2 = 432



⇒ x2 = 36


⇒ x = 6 cm


Therefore,


Height = 4x


= 24 cm

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