Question 14

Write the correct answer from the given four options.

The hypotenuse of a right-angled triangle with its legs of lengths $3 x \times 4 x$ is

a) 5x
b) 7x
c) 16x
d) 25x

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Solution

Given, lengths of the legs of the right-angled triangle are 3x and 4x.
Now, hypotenuse $= \sqrt{(3 x)^{2} + (4 x)^{2}}$ [using Pythagoras theorem]
$= \sqrt{9 x^{2} + 16 x^{2}}$
$= \sqrt{25 x^{2}} = 5 x$

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