Question

Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem

Answer 1

Answer:

x = 4√2

Step-by-step explanation:

Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem

To solve, we will follow the steps below:

using Pythagoras theorem

opposite² +  adjacent² = hypotenuse²

14² + y² = 18²

196 + y² = 324

subtract 196 from both-side of the equation

196 -196 + y² = 324-196

y² =128

Take the square root of both-side

√y² = √128

y =√128

y = √64×2

y =√64×√2

y = 8√2

x = half of y

x = y/2

x = 8√2  ÷  2

x = 4√2