Question

The perimeter of a right angled triangle is 60 cm. The ratio of the sides containing the right angle is 5 : 12. What is the length of the hypotenuse

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Answer 1

Let, the length of sides containing right angle be 5x and 12x respectively.

So,

$hypotenuse \: = \: \sqrt{ {(5x)}^{2} + {(12x)}^{2} }=\sqrt{(25 {x}^{2} + 144 {x}^{2} ) }=\sqrt{169 {x}^{2} }=13x$

Now, A/q,

5x + 12x + 13x = 60 cm

or, 30x = 60

or, x = 2

∴ Hypotenuse = 13x = 13(2) cm = 26 cm

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