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The hypotenuse of a right triangle is 26 feet long One leg is 14 feet longer than the other Find the length of the shorter leg?
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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The length of the hypotenuse of a 30 -60 -90 triangle is 4 find the longer leg?
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The hypotenuse is twice the length of the shorter leg (1x), so if the hypotenuse is 4, the shorter leg is 2. The longer leg, which corresponds to √3, is then calculated as 2√3. Therefore, the length of the longer leg is approximately 3.46.
What is the length of the longer leg and hypotenuse of a 30-60-90 triangle with the shorter leg of length 12?
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. If the shorter leg (opposite the 30-degree angle) is 12, then the longer leg (opposite the 60-degree angle) is (12\sqrt{3}), which is approximately 20.78. The hypotenuse, opposite the 90-degree angle, is twice the length of the shorter leg, so it is 24.
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.
How do you do special right triangle in math?
Special right triangles include the 45-45-90 triangle and the 30-60-90 triangle. In a 45-45-90 triangle, the legs are equal, and the hypotenuse is ( \sqrt{2} ) times the length of each leg. In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg, while the longer leg is ( \sqrt{3} ) times the length of the shorter leg. To solve problems involving these triangles, use these ratios to find unknown side lengths.
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.
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.
The length of the hypotenuse of a 30 -60 -90 triangle is 4 find the longer leg?
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The hypotenuse is twice the length of the shorter leg (1x), so if the hypotenuse is 4, the shorter leg is 2. The longer leg, which corresponds to √3, is then calculated as 2√3. Therefore, the length of the longer leg is approximately 3.46.
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 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
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
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
What is the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
23
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.
How do you do special right triangle in math?
Special right triangles include the 45-45-90 triangle and the 30-60-90 triangle. In a 45-45-90 triangle, the legs are equal, and the hypotenuse is ( \sqrt{2} ) times the length of each leg. In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg, while the longer leg is ( \sqrt{3} ) times the length of the shorter leg. To solve problems involving these triangles, use these ratios to find unknown side lengths.
