Question
If the area of a triangle is 1080 cm2 and
base: corresponding altitude is 3:5, then the altitude of the triangle is:Solution
Using the formula, Area of the triangle = 1/2 x base x height Β Let the base and altitude be 3x and 5x respectively. According to question, β 1/2 x base Γ altitude = 1080 cm2 or, β 1/2 x (3x) x (5x) = 1080 β 15x2 = 2160 β x2 = 2160/15 β x2 = 144 β x = β144 β x = 12 cm Altitude of a triangle = 5x = 5 Γ 12 cm = 60 cm
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