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.

Question 1138026: 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 MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let the base angles be and =>
given: , , and
let altitude to base be , then sides ,, andform right triangle where is hypothenuse, and legs
since and , we have

using the sine rule:

°
then
°
and third angle °=>°=>°

or, you can do it using the cosine rule:
, , and

° => °

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