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What is the length of the shortest leg on a right triangle when the longer leg is 12 ft longer than the shortest leg and the hypotenuse is 12 feet shorter than twice the shortest leg?
Wiki User
∙ 15y ago
The shortest leg = 36 feet Set X = shortest leg Then Longest Leg = x + 12 and Hypotenuse = 2x - 12 Using a^2 + b^2 = c^2 x^2 + (x+12) ^2 = (2x - 12) ^ 2 x^2 + x^2 + 12x + 12x + 144 = 4x^2 - 24x -24x + 144 2x^2 + 24x + 144 = 4x^2 - 48x + 144 Combine like terms we get 2x^2 = 72x divide both side by 2 x^2 = 36 x divide both sides by x x = 36 Confirm Answer a^2 + b^2 = c^2 36 ^ 2 + (36+ 12) ^2 = (2*36 - 12) ^2 1296 + 2304 = 3600 3600 = 3600 since ur such a genius figure dis out...how much wood would a woodchuck chuck if a a woodchuck could chuck wood. ...ELMO...
Wiki User
∙ 15y ago
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Fill in the blank If the shortest leg of a 30-60-90 triangle has length 12, the length of the hypotenuse is?
If the shortest leg of a 30-60-90 triangle has length 12, the length of the hypotenuse is: 24
If the shortest leg of a 30-60-90 triangle has length 12 what is the length of the hypotenuse?
Hypotenuse = 24
If the shortest leg of a 30-60-90 triangle has length 15 the length of the hypotenuse is?
The hypotenuse is 30.
How is the lengtht of the hypotenuse in a 30-60-90 triangle related to the length of the shorter leg?
In a 30-60-90 triangle, the hypotenuse is double the length of the shorter leg.
If the shortest leg of a 30-60-90 triangle has length 15 the length of the hypotenuse is what?
30
If the shortest leg of a 30-60-90 triangle has length 12 the length of the hypotenuse is?
24
If the shortest leg of a 30 60 90 triangle has length 11 the length of the hypotenuse is?
22
If the shortest leg of a 30 60 90 triangle has length 3 the length of the hypotenuse is?
6
If the shortest leg of a 30-60-90 triangle has length 11 the length of the hypotenuse is?
22
If the shortest leg of a 30-60-90 triangle has length 3 the length of the hypotenuse is?
6
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.
If the shortest leg of a 30-60-90 triangle has length 7 the length of the hypotenuse is?
14 units
