1.In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 8 m?

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__m

2.

In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 8 in.?

8√ in.

88√ in.

82√ in.

28√ in.

3.

What is the value of x?

Enter your answer in the box.

x = __

Guest Mar 11, 2018

edited by
Guest
Mar 11, 2018

edited by Guest Mar 11, 2018

edited by Guest Mar 11, 2018

edited by Guest Mar 11, 2018

edited by Guest Mar 11, 2018

#1**+1 **

1)

A 30-60-90 triangle has a specific ratio in which its side lengths are defined. It is a \(1:\sqrt{3}:2\) ratio. Knowing this set ratio, it is easy to determine that the hypotenuse is double the length of the shorter leg. Therefore, the hypotenuse length is 16 meters long!

2)

This question is very similar to the previous triangle, except that we are dealing with a different special right triangle. A 45-45-90 triangle's ratio of the side lengths is \(1:1:\sqrt{2}\). If one of the lengths of the legs is 8 inches, then the hypotenuse has length \(8\sqrt{2}\text{ inches}\).

3)

It appears as if this question has a formatting issue.

TheXSquaredFactor
Mar 11, 2018

#1**+1 **

Best Answer

1)

A 30-60-90 triangle has a specific ratio in which its side lengths are defined. It is a \(1:\sqrt{3}:2\) ratio. Knowing this set ratio, it is easy to determine that the hypotenuse is double the length of the shorter leg. Therefore, the hypotenuse length is 16 meters long!

2)

This question is very similar to the previous triangle, except that we are dealing with a different special right triangle. A 45-45-90 triangle's ratio of the side lengths is \(1:1:\sqrt{2}\). If one of the lengths of the legs is 8 inches, then the hypotenuse has length \(8\sqrt{2}\text{ inches}\).

3)

It appears as if this question has a formatting issue.

TheXSquaredFactor
Mar 11, 2018