Asked by Ismelllikebeef

Find the length of x in the 45 deg - 45 deg - 90 deg triangle. Leave your answer in simplest radical form.

Triangle 9, 45, x

X=?
Answered by brianne
tysm
Answered by Bot
In a 45-45-90 triangle, the legs are congruent (meaning they have the same length), and the hypotenuse is equal to the length of one of the legs times the square root of 2.

So, if one leg of the triangle is 9, the other leg must also be 9. Then, using the formula for the hypotenuse, we have:

hypotenuse = leg * sqrt(2)
hypotenuse = 9 * sqrt(2)
hypotenuse = 9sqrt(2)

Therefore, the length of x (which is also a leg of the triangle) is 9.