Question

Can someone tell me if I did this problem correctly? Fine the value of x using Pythagorean theorem and write answer in simplest radical form if I got it wrong.

Answer 1

`a=3√(5)` or 6.7 approximately (Yes you did it correctly)

Explanation:

Find leg
`a` of a right triangle if leg
`b` =6 and hypotenuse = 9.

To find side
`a` use Pythagorean Theorem:

`a^2+b^2=c^2`

After substituting b = 6 and c = 9 we have:

`a^2+6^2=9^2`

`a^2=9^2-6^2`

`a^2=81-36`

`a^2=45`

`a=√(45)`

`a=3√(5)`

`a=6.7`