Question

The ratio of the base and height of a triangle are 4:3.If the area of the triangle is 216m²,find the length and height.

Answer 1

let base be 4x and height be 3x

area of the triangle = ½ × base × height

216= ½ × 4x× 3x

216×2 = 12x²

432/12 = x²

x² = 36
x = √36
x = 6

so

length = 4 × 6 = 24

height = 3× 6 = 18

Answer 2

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