Question

For the following right triangle, find the side length .

Answer 1

x = 25

Explanation:

To find the side lengths of a right triangle, we can use the Pythagorean Theorem, a² + b² = c². a and b are the legs, and c is the hypotenuse, the longest side. In this figure, x is the hypotenuse, c.

Plug in our values for a and b and solve for x.

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

`20^2+15^2=c^2`

`400+225=c^2`

`625=c^2`

`√(625)` =
`√(c^2)`

`25=c`

c, or x is equal to 25. The missing sidelength is 25 units.

Good luck ^^

Answer 2

x = 25

Explanation:

Using the formula a²+b²=c², you can easily find out the hypotenuse of the triangle (which is the long side of it, and is the x in this problem.)

If we substitute the side lengths for the question in a²+b²=c², you'll get

20²+15²=x²

Simplifying the numbers and squaring them, you get

400+225=625²

Since you want the value of the x side, you'll need to root 625.

√625=25

Therefore, x = 25