Question

Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice the length of leg 1. What would be the length of the third side of the fabric?

8.94 m
7.21 m
6.93 m
4.47 m

Answer 1

8.94 m

Explanation:

Use the Pythagorean Theorum -
`a^2 + b^2 = c^2`. Use leg 1 as a, leg 2 as b, and the third side as c.

We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

`(4)^2 + (4*2)^2 = c^2`

Now, we use the Order of Operations to find
`c^2`...

`4^2+8^2=c^2\\16+64=c^2\\80=c^2`

Now, we find the square root of
`c^2` to find c...

`√(80) =8.94`

So, the length of the third side is 8.94 m.