Question

The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?

Answer 1

Answer: Square root 85 units

Step-by-step explanation:

Given: The legs of a right triangle are 6 units and 7 units.

Let h be the hypotenuse of the right triangle.

By Pythagoras theorem of right triangle, we have

$h=\sqrt{6^2+7^2}\\\\\Rightarrow\ h=\sqrt{36+49}\\\\\Rightarrow\ h=\sqrt{85}$

Hence, the  length of the hypotenuse$=\sqrt{85}\text{ units.}$

• Pythagoras theorem of right triangle says that the square of the hypotenuse  is equal to the sum of the squares of the other two sides.