Question
If the area of a triangle is 432 cm2 and
base: corresponding altitude is 2:3, then the altitude of the triangle is:Solution
Using the formula, Area of the triangle = 1/2 x base x height Let the base and altitude be 2x and 3x respectively. According to question, ⇒ 1/2 x base × altitude = 432 cm2 or, ⇒ 1/2 x (2x) x (3x) = 432 ⇒ 6x2 = 864 ⇒ x2 = 864/6 ⇒ x2 = 144 ⇒ x = √144 ⇒ x = 12 cm Altitude of a triangle = 3x = 3 × 12 cm = 36 cm
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