Question
If the area of a triangle is 1014 cm2 and
base: corresponding altitude is 3:4, 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 4x respectively. According to question, β 1/2 x base Γ altitude = 1014 cm2 or, β 1/2 x (3x) x (4x) = 1014 β 12x2 = 2028 β x2 = 2028/12 β x2 = 169 β x = β169 β x = 13 cm Altitude of a triangle = 4x = 4 Γ 13 cm = 52 cm
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