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Let the length of the shorter leg be L, then the longer leg is L + 14.
By Pythagoras then 262 = L2 + (L + 14)2 = L2 + L2 + 28L + 196 = 2L2 + 28L + 196
676 = 2L2 + 28L + 196 : 2L2 + 28L - 480 = 0 : L2 + 14L - 240 = 0
This can be factored : L2 + 14L - 240 = (L + 24)(L - 10) = 0
As only a positive number answer applies and this is when L - 10 = 0 : L = 10.
The length of the shorter leg is 10 feet.
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What is the hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
Short leg is 6 feet.
The length of the hypotenuse of a triangle is 20 what is the shorter leg?
You need to know something else to solve: either the long leg or the angle edit: if it is a right triangle you can use a theorem to figure out the other sides. the smallest side is a, the hypotenuse is 2a, the longer leg is a * sqrt (3) if the hypotenuse is 20, the smaller leg is 10.
What are the lengths of the longer leg and the hypotenuse if the shorter leg is 10 on a 30-60-90 triangle?
The short side will be opposite the 30 degree angle. The longer leg is 10*sqrt(3) = 17.32 and the hypotenuse is 20.
If the length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find length of each side?
9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.
When you use the distance formula you are building a right triangle whose connects two given points. A. longer leg B. shorter leg C. right angle D. hypotenuse?
hypotenuse
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 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 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.
What is the length of the shorter leg of a right triangle if the longer leg has a length of 45 and the hypotenuse has a length of 53?
Subtract the squared longer leg's squared length from the hypotenuse's square to obtain the squared shorter leg length. Then find the square root of that answer for your final answer. In other words: 53 squared minus 45 squared equals your squared answer.
The hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
The shorter leg is 6 feet long
The hypotenuse of a triangle is 15 feet long The longer of the two legs is three feet longer than the other Find the length of the shorter leg?
The shorter leg is 9 feet long
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
What is the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
23
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
In a 30-60-90 triangle if the shorter leg has length p then the longer leg has length and the hypotenuse has length?
Use the rule that the shortest leg has length p, the other leg has length 2p and the hypotenuse has length p*sqrt(3) Where sqrt(number) if the square root of the number.
What is the hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
Short leg is 6 feet.
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.
