SOLUTION: The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse

Question 767178: The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse
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A:

The equation of the bisector is y = x.
The equation of the hypotenuse is .
Solving for the point of intersection of the bisector and hypotenuse:
x =
= 4
x = = y
Therefore the point of intersection is (,).
Using distance formula:
m = ≈ 2.9
n = ≈ 2.1
ANSWERS: ,

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