Answer the following questions based on this right triangle

Question

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The hypotenuse of a right triangle measures 2√22centimeters and its shorter leg measures 2√6centimeters.

a.What is the measure of the 3rdside?

b.What is the sin ratio of the larger acute angle?

c.What is the measure of the large acute angle in radians(rounded to the hundredths place)?

d.What is the measure of the large acute angle in degrees(rounded to the hundredths place)?

please show all work needed thank you.

lovesosa12 Dec 11, 2020

Guest · Answer 1 · 2020-12-11T09:30:08

(2*sqrt(22))^2 =(2*sqrt(6))^2 + S^2, solve for S

a. S = 8 - the 3rd side

b. 8 / sqrt(88) =0.852802865 sine of the larger angle.

d. Arcsine(0.852802865) = 58.52 Degrees - measure of the larger angle.

c. (58.52 / 180) x pi =1.0213 Radians - measure of the larger angle.