# A triangle with the hypotenuse measuring 8, and the short leg measuring 5, and the the long leg measuring 7. How do you find the angles C the top angle, B the lower right angle, A the left angle?

##### 1 Answer

Ignoring the (false) implication that we are dealing with a right angled triangle, we can use the Law of Cosines to determine the 3 angles

#### Explanation:

I have assumed that the triangle looks like:

The reference to a hypotenuse implies a right-angled triangle but based on the Pythagorean Theorem this is clearly false.

The Law of Cosines for a triangle with sides

which can be re-arranged as:

or

and similarly for angles

Plugging in the values for

In radians

In degrees