Question

What is the length of the unknown leg in the right triangle ?

Answer 1

Answer:
`√(32)\text{ mi}`

Explanation:

The 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.

From the given figure , the hypotenuse of the right triangle =
`√(113)\text{ mi}`

Then According to Pythagoras theorem , we have

`(√(113))^2=x^2+(9)^2\\\\\Rightarrow\ x^2=113-81\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=√(32)\text{ mi}`