Q4 of 15 Page 134

There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

The difference in the lengths of the perpendicular sides is 24 meters.

Ratio of perpendicular sides = 3 ∶ 4

Let, one perpendicular side = 3x m and the other perpendicular side = 4x m


According to problem,


⇒ 4x – 3x = 24


⇒ x = 24


∴ One perpendicular side = 3 × 24 = 72 m


The other perpendicular side = 4 × 24 = 96 m


∴ Hypotenuse = √(722 + 962) = √14400 = 120 m


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There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

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There are four right triangles, the ratio of perpendicular sides being 3 : 4 in each. Once more fact about each is given below. Find the lengths of the sides of each triangle.

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