SOLUTION: In a right triangle, the bisector of the right triangle divides the hypotenus in the ratio 3:5. determine the measures of the acute angles of the triangle.
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Question 832181: In a right triangle, the bisector of the right triangle divides the hypotenus in the ratio 3:5. determine the measures of the acute angles of the triangle. Answer by jean14(9) (Show Source):
You can put this solution on YOUR website! note: right triangle measures 90 deg.
Acute angle measures less than 90 deg.
hypotenuse divided in ratio 3:5.
This means 3 parts : 5 parts
Add the parts 3 +5 = 8 parts.
So, a hypotenuse has 8 parts. lets find the measure in one part.
Right tri. 90° / 8parts = 11.25° is 1 part .
Solve:
3 : 5
3 * 11.25 : 5 * 11.25
33.75° : 56.25° final answer
Those measurements are acute angles bec. They are less than 90°.
Check: add the acute angles together
33.75° + 56.25° = 90°
