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EastWind [94]
3 years ago
15

Besides the 90degree angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? R

ound to the nearest degree

Mathematics
2 answers:
Komok [63]3 years ago
8 0

Answer:

b.) 23° and 67°

Step-by-step explanation:

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.  

a.) 18° and 39°

b.) 23° and 67°

c.) 43° and 47°

d.) 65° and 25°

Snezhnost [94]3 years ago
4 0

Answer:

The other two angle measures are 23 degrees and 67 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

m\angle A+m\angle C=90^o ----> by complementary angles

sin(C)=\frac{AB}{AC} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(C)=\frac{5}{13}

C=sin^{-1} (\frac{5}{13})=23^o

Find the measure of angle A

m\angle A+23^o=90^o\\m\angle A=67^o

therefore

The other two angle measures are 23 degrees and 67 degrees

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