Q. 4 D5.0( 4 Votes )

# 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 area is 24 square metres.

Answer :

Ratio of perpendicular sides = 3 ∶ 4

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

According to problem,

⇒ 1/2 × 3x × 4x = 24

⇒ 6x^{2} = 24

⇒ x^{2} = 4

⇒ x = 2

∴ One perpendicular side = 3 × 2 = 6 m

The other perpendicular side = 4 × 2 = 8 m

∴ Hypotenuse = √(6^{2} + 8^{2}) = √100 = 10 m

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