[SOLVED] Easy trignoometry question
I am reviewing trigonometry and this question has puzzled me.
isosceles triangle has a base of 10cm long. The height is 4cm. Determine the measures if the three angles the given triangle.
The section I'm on is using TAN. So what I did is draw a perpendicular bisector, bisection the height so I now have right angles so I can use trigonometry "it has to be a right angle triangle right?" anywho, then I used pythagorus to find the length of the perpindicluar bisecter which came out to 9.79cm.
Then I found the angles of the two equal angles "angles P and Q" and I got 78°, so the remaining angle would be 24°.
The answer key has 38.7°, 38.7°, and 102.6°
What am I doing wrong, am I making it harder than it needs to be?
Thanks, any help is greatly appreciated.