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


6x2 = 24


x2 = 4


x = 2


One perpendicular side = 3 × 2 = 6 m


The other perpendicular side = 4 × 2 = 8 m


Hypotenuse = √(62 + 82) = √100 = 10 m


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