Question

The base and the height of a traingle are in the ratio 5:3 and its area is 43.2m^2 find the base and the height of triangle

Answer 1

Hi friend
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Your answer
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Ratio of the base and height of the triangle = 5:3

Area of the triangle = 43.2 m²

Let the base and height of the triangle be 5x and 3x respectively.

Then,
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1/2 × 5x × 3x = 43.2

=> x² = (43.2 × 2)/15

=> x² = 5.76

=> x = √5.76

=> x = 2.4

Therefore,
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Base = 5x = (5 × 2.4) = 12 cm

Height = 3x = (3 × 2.4) = 7.2 cm

HOPE IT HELPS