An acute triangle has sides that measure 32 and 24, if you addon 9 to the side with 24 and x to 32, what would x equal? Solve for x.

Answer 1

Let x be the length of the third side of the triangle.

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, the sum of the two given sides (32 and 24+9=33) must be greater than x:
32 + 33 > x
65 > x

Therefore, x must be less than 65 in order for the triangle to be valid.

So the value of x can be any real number less than 65.