contestada

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°

Respuesta :

jcherry99

Answer:

B

Step-by-step explanation:

Remark

The angle opposite the hypotenuse is 90 degrees. The hypotenuse is 13 in this case and is labeled c.

The second longest line is opposite the second largest angle

Sin(A) = opposite / hypotenuse

Solution

Sin(A) = 12 / 13   =        Opposite / hypotentenuse

  • opposite = 12      12 is the second longest line
  • hypotenuse = 13

Sin(A) = 0.9231             12/13 = 0.9231          

A = sin-1(0.9231)           Take the inverse sine of 0.9231

A = 67 rounded

Therefore then angle opposite the shortest side must be 90 - 67 = 23

Answer: 67 and 23

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