Question

What is the value of x. Enter your answer in the box.

A triangle with 3 sides that's a right triangle the longest one is 24 then 7 then x. What is x
X=___

Answer 1

Use the Pythagorean theorem to find the missing side:


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

We already know two sides, so plug those into the equation. The longest side will be c:


`a = 7, c = 24`


`7^(2) + b^(2) = 24^(2)`


`49 + b^(2) = 576`

Subtract 49 from both sides.


`b^(2) = 527`

Square root both sides to get b by itself:


`√(527) = 22.9564`


`b = 22.9564`

The value of x is 22.9564.

Answer 2

Use the Pythagorean Theorem: a² + b² = c².
a and b are the legs, c is the hypotenuse.

Refer to the picture :) I just drew a standard right triangle, *not to scale*.
The hypotenuse is always the longest side of a right triangle, so I plugged in 24 for c. I plugged in x and 7 for a and b.

x² + 7² = 24²
Square 7 and 24.

x² + 49 = 576
Subtract 49 from both sides.

x² = 527
Square root both sides to isolate and find x.

x = 23