SOLUTION: In a right triangle, a bisector of the right angle divides the hypotenuse in the ratio of 3:5. Determine the measure of the acute angles.
Algebra.Com
Question 1007444: In a right triangle, a bisector of the right angle divides the hypotenuse in the ratio of 3:5. Determine the measure of the acute angles.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
In a right triangle, a bisector of the right angle divides the hypotenuse in the ratio of 3:5. Determine the measure of the acute angles.
let the acute angles be and
if a bisector of the right angle divides the hypotenuse in the ratio of , then the measures of acute angles be and will be in same ratio; so,
since , we have
now find
RELATED QUESTIONS
In a right triangle, the bisector of the right angle divides the hypotenuse in the ratio... (answered by ikleyn)
In a right triangle, the bisector of the right triangle divides the hypotenus in the... (answered by jean14)
the altitude to the hypotenuse of a right triangle divides the hypotenuse in the ratio... (answered by ikleyn,math_tutor2020)
The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest... (answered by reviewermath)
the legs of a right triangle have the lengths of 7 and 24. The bisector of the right... (answered by ankor@dixie-net.com)
The altitude of the hypotenuse of a right triangle divides the hypotenuse into 45in. And... (answered by josgarithmetic,MathTherapy)
The acute angle of a right triangle are in ratio 4:5 find the measure of each acute angle
(answered by josgarithmetic)
the ratio of the two acute angles in a right triangle is 5:13. what is the measure of... (answered by lwsshak3)
Construct a right triangle such that the bisector of the right angle divides
the... (answered by MathLover1)