SOLUTION: The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles. Round your answers to the nearest tenth. Show the equation used.

Algebra ->  Trigonometry-basics -> SOLUTION: The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles. Round your answers to the nearest tenth. Show the equation used.      Log On


   

Question 1138030: The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles. Round your answers to the nearest tenth.
Show the equation used.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Split along the middle of the base side (4) and the apex angle.
10%2Acos%28x%29=2

5%2Acos%28x%29=1

cos%28x%29=1%2F5

x=arcos%281%2F5%29