Question

Find the length of the segment indicated. Round your answer to the nearest tenth. Please and thank you so very much!!!

Answer 1

14.7

Explanation:

The given horizontal line is in the center of the circle (indicated by the black dot in the middle), so you can divide 17.5 by 2 in order to find the length of the leftmost segment of the triangle (8.75).

To solve for x, we use the pythagorean theorem as this is a right triangle:

`a^(2) + b^(2) = c^(2)`

`11.8^(2) + 8.75^(2) = x^(2)\\139.24 + 76.5625 = x^(2)\\215.8025 = x^(2)\\x = 14.6902178...`

This is 14.7 when rounded to the nearest tenth