1)
Answer: x = 17.5
Step-by-step explanation:
The given triangle is a right triangle. To find x, we would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
From the diagram,
hypotenuse = x
one leg = 9
other leg = 15
Thus,
x^2 = 9^2 + 15^2 = 81 + 225 = 306
Taking square root of 306,
x = √306
x = 17.5