Question

The base and height of a triangle are in the ratio3:2 if area of yriangke is 243

Answer 1

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Answer 2

base : height = 3 : 2

let the constant ratio be 'x'


let base of triangle = 3x cm


and height of triangle = 2x cm


area = 243 cm^2


(base × height)/ 2 = 243


3x × 2x/ 2 = 243


3x^2 = 243 => x^2 = 81


x = √81 = 9 cm


base of the triangle = 3x = 3(9) = 27cm


height of the triangle = 2x = 2(9) = 18cm



Answer: base = 27cm , height = 18cm