Question

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

Square root 13 units
13 units
Square root 85 units
85 units

Answer 1

Answer: Square root 85 units

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=√(6^2+7^2)\\\\\Rightarrow\ h=√(36+49)\\\\\Rightarrow\ h=√(85)`

Hence, the length of the hypotenuse
`=√(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.