Question

For the following right triangle, find the side length x, Round your answer to the nearest hundredth.

Answer 1

Answer:
15.59

Explanation:

Use the Pythagorean Theorem

a^2+b^2=c^2
9^2+b^2=18^2
81+b^2=324
Subtract 81 from both sides
b^2=243
Square root 243= 15.59

Answer 2

Answer:

x ≈ 15.59

Step-by-step explanation:

We need to use the Pythagorean Theorem to solve for x. The equation for that is a^2 + b^2 = c^2. Side a is 9. Side b is x. Side c is 18 and 18 is also the hypotenuse. Let's solve for x(side b):

a^2 + b^2 = c^2

9^2 + x^2 = 18^2

81 + x^2 = 324

Subtract 81 from both sides to get x^2 alone on one side.

x^2 = 243

Square root both sides to isolate x.

x = 9sqrt3)

x ≈ 15.59