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 perimeter is 24 metres.

Ratio of perpendicular sides = 3 ∶ 4

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


∴ Hypotenuse


According to problem,


⇒ 3x + 4x + 5x = 24


⇒ 12x = 24


⇒ x = 2


∴ One perpendicular side = 3 × 2 = 6 m


The other perpendicular side = 4 × 2 = 8 m


Hypotenuse = 5 × 2 = 10 m


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