Question

Question 14

Write the correct answer from the given four options.

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

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

Answer 1

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