Question
The base of a triangle is 18 cm and height is 13 cm. The
height of another triangle of double the area having the base 36 cm is:Solution
Using the formula, Area of the triangle = 1/2 x base x height ⇒ 1/2 x 18 x 13 = 117 cm2 According to the question Area of the another (second) triangle = 2 × 117 = 234 cm2 Area of the new triangle =1/2 x base x height 234 = 1/2 x 36 x height Therefore, height = (234 x 2)/36 = 13 cm
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