Question

Find the length of the missing side. Assume that lines that appear to be tangent are tangent. Round your answer to the nearest tenth, if needed.

Answer 1

Given:

The radius and tangent to a circle at the point of intersection are perpendicular to each other.

Hence, considering the right triangle;

Hence, the length of the missing side can be gotten using the Pythagorean theorem.

`\begin{gathered} first\text{ leg}^2+other\text{ leg}^2=hypotenuse^2 \\ 8.4^2+x^2=10.5^2 \\ x^2=10.5^2-8.4^2 \\ x^2=39.69 \\ x=√(39.69) \\ x=6.3 \end{gathered}`

Therefore, to the nearest tenth, the length of the missing side is 6.3