Question

1. find the length of the unknown side ( x ). give your answer correct to two decimal places.

8.01 the pythagorean theorem

Explanation:

Step1: Find diameter length

The radius is 7, so diameter $d = 2 \times 7 = 14$.

Step2: Apply Pythagorean theorem

The triangle is right-angled, so $x^2 + 12^2 = 14^2$.

Step3: Solve for $x^2$

$x^2 = 14^2 - 12^2 = 196 - 144 = 52$.

Step4: Calculate $x$

$x = \sqrt{52} = 2\sqrt{11} \approx 6.63$.

Answer:

$x \approx 2\sqrt{11} \approx 6.63$