Question

A right triangle has two sides of lengths 4 m and 4 m respectively. The length of its hypotenuse is.

• A. 3$\sqrt{2}$m
• B. 4$\sqrt{3}$m
• C. 4$\sqrt{2}$m

Answer 1

The correct option is C 4$\sqrt{2}$m

Let the sides of the right triangle be x, y and z, z being the hypotenuse.
By using the concept of ratios of sides
we see that,

Ratio of sides is:

x : y : z = 1 : 1 :$\sqrt{2}$

Here x = y = 4 m

4 : 4 : z = ( 1 : 1: $\sqrt{2}$)4

4 : 4 : z = 4 : 4 : 4$\sqrt{2}$

So,
Hypotenuse (z) = 4$\sqrt{2}$ m