Question

A right triangle has two sides of lengths 4 m and 4 m respectively. Find the length of the hypotenuse by using ratio of sides concept.

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

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, z=4$\sqrt{2}$ m