Question 1129965: The sides of a triangle are 50,60, and 70. Find the length of the angle bisector from the longest side to its opposite vertex.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! label the triangle ABC, sides are a,b,c and angles are A, B, C
:
let a=50, b=60, c=70 and P is the midpoint of c such that CP is 35
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use the Pythagorean Theorem
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35^2 +BP^2 = 60^2
:
BP^2 = 60^2 -35^2 = 3600 -1225 = 2375
:
BP = 48.734
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