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Question 136

The hypotenuse (in cms) of a right angle triangle whosesides are in the ratio 3:4 and having area 24 sq.cmsis

Solution

Let the two sides be 3x and 4x. By Pythagoras' theorem, we get hypotenuse as 5x.
Now, Area of triangle = 0.5*3x*4x = 6x*x = 24 sq cm
Hence, x = 2 and thus, hypotenuse = 10 cm

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