Q:

AD¯¯¯¯¯ , BD¯¯¯¯¯ , and CD¯¯¯¯¯ are angle bisectors of the sides of △ABC . CF=8 m and CD=17 m.What is DE ?Enter your answer in the box.

Accepted Solution

A:
To solve this you have to use the Pythagorean Theorem. 
Which is a²+b²=c²
CF,CD,and DF makes a triangle 
Substitute it in
a²+8²=17² Add
a²+64=289 Subtract 64 to get a alone
a²=225 Square root it 
a=15