Question

The legs of a right triangle are 4 units and 7 units. What is the length of the hypotenuse?

A. square root 33 units
B. square root 65 units
C. 33 units
D. 65 units

Answer 1

the square root of 65 units

Answer 2

Correct option is:

B. square root 65 units

Explanation:

Pythagorean theorem states that the square of hypotenuse is equal to the sum of squares of the legs of the right angled triangle.

Here, we are given that:

The legs of a right triangle are 4 units and 7 units.

By Pythagoras theorem

Hypotenuse²=4² +7²

= 16+49

= 65

⇒ Hypotenuse=
`√(65)`

Hence, Correct option is:

B. square root 65 units