jmurguia888
13.06.2020 •
Mathematics
Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem
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Ответ:
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
Ответ: