SOLUTION: What will be the angle measures in an isosceles triangle that has a base of 30 and legs of 17?

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Question 1044010: What will be the angle measures in an isosceles triangle that has a base of 30 and legs of 17?
Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
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What will be the angle measures in an isosceles triangle that has a base of 30 and lateral sides of 17?
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Draw the altitude to the base in the triangle.
Since in an isosceles triangle the altitude to the base is the median in the same time, the altitude divides the base 
in two equal segments of  = 15 inits each.

Now you have the right-angled triangle with one leg of 15 units and the hypotenuse of 17 units.

Hence,  =  where  is the base angle of the original isosceles triangle.

Having this, find  using your calculator, or computer, or trigonometric tables - whichever you have.

 = .


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