Question

Use Pythagorean Theorem to solve for X. show all steps

Answer 1

x = 48

Explanation:

15^2+33^2=48^2

48^2= 2304

Square root of 2304 = 48

Answer 2

x ≅ 36.25

Explanation:

Since this is an isosceles triangle, the altitude bisects the side of length 30.

Therefore, we have a right triangle with legs of 33 and 15 and we are looking for the hypotenuse (x).

So
`15^(2) + 33^(2) = x^(2) \\225 + 1089 = x^(2) \\1314 = x^(2) \\x = √(1314) \\= 36.25\\` to the nearest hundredth.