What is the measurement (using tangent) of an angle that has an adjacent side of 8, an opposite side of 9, and a hypotenuse of 10?

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- May 2nd 2012, 11:39 PMkalwinTrigonometric Functions
What is the measurement (using tangent) of an angle that has an adjacent side of 8, an opposite side of 9, and a hypotenuse of 10?

- May 3rd 2012, 12:39 AMbiffboyRe: Trigonometric Functions
This is not a right angled triangle.

- May 3rd 2012, 01:18 AMProve ItRe: Trigonometric Functions
You can find the size of the angles, but this is not a right-angle triangle, and you can not use the terminology you have used.

The cosine rule states that

$\displaystyle \displaystyle \begin{align*} c^2 &= a^2 + b^2 - 2ab\cos{C} \\ \cos{C} &= \frac{a^2 + b^2 - c^2}{2ab} \end{align*}$