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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. 18° and 39° 23° and 67° 43° and 47° 65° and 25°

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alexis1779

Answer:

B) 67 and 23 on edg2020

Using relations in a right triangle, it is found that the other two angles are given by:

23° and 67°

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the hypotenuse is the largest size of 13.

The angle opposite to the side of length 5 is found as follows:

[tex]\sin{\theta} = \frac{5}{13}[/tex]

[tex]\theta = \arcsin{\left(\frac{5}{13}\right)}[/tex]

[tex]\theta = 23[/tex]

Hence, considering that the sum of the 3 angles is of 180º, the other angle is of 67º.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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