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In a 30-60-90 triangle, the hypotenuse is double the length of the shorter leg.

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Q: How is the lengtht of the hypotenuse in a 30-60-90 triangle related to the length of the shorter leg?
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The shorter leg of a 30 -60 -90 triangle is 6 what is the hypotenuse?

The hypotenuse is: 12


How do you find the hypotenuse and longer leg of a 30 60 90 triangle?

If you have the shorter legs length, then for the hypotenuse, just multiply the shorter leg by 2. For the longer leg, multiply the shorter leg by the square root of 3.


He length of the longer leg of a right triangle is 3ft more than three times the length of the shorter leg. The length of the hypotenuse is 4ft more than three times the length of the shorter leg. Fin?

The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.


How do you find the side lengths of a 20-70-90 triangle?

There are an infinite number of different sets of lengths that will do it. You have to start by choosing the length of one side, and when you do that, here's how to find the others: Shorter leg = (longer leg) x 0.364 Shorter leg = (hypotenuse) x 0.342 Longer leg = (shorter leg) x 2.747 Longer leg = (hypotenuse) x 0.94 Hypotenuse = (shorter leg) / 0.342 Hypotenuse = (longer leg) / 0.94


A 30-60-90 triangle has its longer leg of length 7.8 what is the length of the shorter of the two legs?

The shorter leg is 1/2 of the hypotenuse, while the longer leg is (sin60°) times the hypotenuse or about 0.866 times as long. (7.8/0.866) gives the hypotenuse as 9.0 and 9.0/2 = about 4.5 unitsor use the tangent ratio:7.8/tan 60° = 4.5033321 or about 4.5 in length

Related questions

The shorter leg of a 30 -60 -90 triangle is 6 what is the hypotenuse?

The hypotenuse is: 12


How do you find one of the shorter sides of a right angled triangle knowing the hypotenuse and one of the shorter sides?

a^2 + b^2 = c^2 c= hypotenuse a and b are the legs (sides) of the triangle


When the shorter leg of a 30-60-90 triangle has a length of 18 what is the hypotenuse?

hypotenuse = 18/cos60 = 36


How do you find the length of the sides of a right triangle when you know the hypotenuse?

If it is a 45-45-90 triangle, then divide the hypotenuse by the square root of 2. If it is a 30-60-90 triangle, then the shorter leg would be the hypotenuse divided by 2. And the longer leg would be the the shorter leg multiplied by the square root of 3.


How long is the shorter leg of a right triangle with a side of 8 inches and a hypotenuse of 40 inches?

A right triangle with a hypotenuse of 40 inches and a side of 8 inches has a leg length of 39.19 inches so the shorter leg IS 8 inches.


What is the length of a leg of a right triangle with hypotenuse equals 22.5km and leg equals 44.7mm?

A hypotenuse should not be shorter than a leg length.


How do you find the hypotenuse and longer leg of a 30 60 90 triangle?

If you have the shorter legs length, then for the hypotenuse, just multiply the shorter leg by 2. For the longer leg, multiply the shorter leg by the square root of 3.


How do you find the two shorter sides of a triangle when all you know if the hypotenuse and nothing else?

If it has an hypotenuse then it is a right angle triangle and if you know its angles then use trigonometry to find its other two sides.


Are true statements about a 30-60-90 triangle?

.The hypotenuse is twice as long as the shorter leg The longer leg is twice as long as the shorter leg.


How do you calculate the hypotenuse of an isosceles right triangle?

An isosceles right triangle will always have its shorter sides of the same length, and the hypotenuse will always be this length times sin(45o) or times the square root of 0.5.


What is true of all hypotenuse compared to the other side?

The hypotenuse of any right triangle is longer than either one of the other two sides of the same right triangle. But it's shorter than their sum.


He length of the longer leg of a right triangle is 3ft more than three times the length of the shorter leg. The length of the hypotenuse is 4ft more than three times the length of the shorter leg. Fin?

The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.