SOLUTION: State the sidelength of AC and AB. Please view link for diagram. https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing

Algebra ->  Trigonometry-basics -> SOLUTION: State the sidelength of AC and AB. Please view link for diagram. https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing      Log On


   

Question 1181859: State the sidelength of AC and AB. Please view link for diagram.
https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The given information makes it possible to use the law of cosines to find the length of AC. But I think I would go a different route.

In triangle ACD, draw altitude DE to side AC. Since the triangle is isosceles, that makes DEC and DEA congruent right triangles. Then use

sin%2835%29=CE%2F10

to find CE and double that to find AC.

Then, knowing AC, use

tan%2832%29=AB%2FAC

to find AB.