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.
