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 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 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 forms the right angle.
The length is approximately 11.48 units because it forms the right angle.
The length is 13 units because the hypotenuse is the longest side.
1 answer
The correct response is:
The length is 13 units because the hypotenuse is the longest side.
In a triangle, the hypotenuse is always the longest side, specifically in a right triangle. Given the measurements of the sides (approximately 6.1 units, 11.48 units, and 13 units), the hypotenuse must be 13 units, as it is the longest length.
