A triangle has the vertices labeled upper M upper N upper O. Upper N upper O is labeled m, upper M upper N is labeled o, and upper O upper M is labeled n. Angle upper N measures 62 degrees and angle upper M measures 28 degrees.
Side m is approximately 6.1 units, side n is approximately 11.48 units, and side o is 13 units. What is the length of the hypotenuse of this triangle? How do you know?
(1 point)
Responses
The length is approximately 6.1 units because the hypotenuse is the shortest side.
The length is approximately 6.1 units because the hypotenuse is the shortest side.
The length is approximately 11.48 units because it is the middle length.
The length is approximately 11.48 units because it is the middle length.
The length is 13 units because the hypotenuse is the longest side.
The length is 13 units because the hypotenuse is the longest side.
The length is approximately 11.48 units because it forms the right angle.
1 answer
The length of the hypotenuse in a triangle is the longest side opposite the largest angle. In this case, the angles given are 62 degrees and 28 degrees. Therefore, the angle opposite side \( o \) (which is 13 units and potentially the largest angle, given that the angle sum of a triangle is 180 degrees) is the largest, making side \( o \) the hypotenuse.
Thus, the correct response is:
The length is 13 units because the hypotenuse is the longest side.
