# The legs of a right triangle are 5cm and 12 cm long. How do you find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse?

##### 1 Answer

Nov 3, 2015

Draw a sketch, then use the Law of Sines

#### Explanation:

Here is a sketch of the problem:

Using Pythagorean theorem, we know the hypotenuse length of

We also know:

Now use the Law of Sines:

Next, divide the first equation above by the second equation so that both

You will be left with the following identity:

Solving for x and (13-x):

Hope that helped