Question

The radius of the circle shown is 4 centimeters. One of the legs of the right triangle formed is also 4 centimeters. Find the length of leg x. Round to the nearest tenth.

Answer 1

6.9 cm

Explanation:

The triangle inscribed into the circle is a right triangle, the hypotenuse is twice the radius, thus we can use Pythagora's theorem to solve for the remaining side:

`a^2+b^2=c^2\\4^2+b^2=8^2\\16+b^2=64\\b^2=48\\b=√(48) \\b=6.92820323028...`

Round to the nearest tenth to get 6.9 cm.