The legs of a 45-45-90 triangle have a length of 8 units. What is the length of one of its hypotenuse?

2 answers:

6 0

Hello there.

The legs of a 45-45-90 triangle have a length of 8 units. What is the length of one of its hypotenuse?

A. 8Sqrt2 units

lesantik [10]3 years ago

3 0

For the answer to the question above asking what is the length of one of its hypotenuse if the legs of a 45-45-90 triangle have a length of 8 units?
The answer is √(8²+8²)=√(2*8²)=8√2=11,3137084 according to my calculator.
But based on the given choices the answer would be A.8Sqrt2 units

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A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes.

masya89 [10]

Refer to the diagram below, which provides a plan view of the problem

Because each player applies the same force, F, the angle between the force and the direction of motion is (1/2)*25° = 12.5°.

Because the sled moves with constant velocity, the sled is in dynamic equilibrium, and
2F cos(12.5°) = 1140 N
1.9526 F = 1140
F = 583.84 N

Answer: 583.8 N (nearest tenth)