# How do you solve the triangle if it has legs with lengths of 18 and 28 and there is a 90 degree angle, X and Y are the other two angles?

##### 1 Answer

Sep 30, 2015

Use Pythagorean theorem to find the length of the **hypotenuse** then use trigonometry to solve for the missing angles.

#### Explanation:

Below is a sketch of the triangle XYZ:

Using Pythagorean Theorem:

Now, use the property of inverse trig function (inverse tangent) to solve for angle Y:

Finally,

Hope that helped