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In a right triangle, the bisector of the angle devides the hypotenuos in the ratio of 3 is to 5,determine the measure of the acute anglse of triangle.

Sagot :

Note: right triangle measures 90 degrees
Acute angle measures less than 90 degrees 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, let's find the measure in one part.
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 because they are less than 90°.
Check: add the acute angles together 33.75° + 56.25° = 90°