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If one leg of right triangle is 5cm shorter than the other leg The length of the hypotenuse is 25cm Find the length of the shorter leg?
Let the shorter leg be x-5 and the other leg be x.
Use Pythagoras' theorem:
(x-5)2+x2 = 625
(x-5)(x-5)+x2 = 625
2x2-10x+25 = 625
2x2-10x+25-625 = 0
2x2-10x-600 = 0
Solving the above using the quadratic equation formula works out as:
x = -15 or x = 20, so it must be the latter because dimensions can't be negative.
Therefore:the shorter leg is 15 cm
What else can I help you with?
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
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
The length of the hypotenuse of a right triangle is 15 and the length of one leg is 12 what is the other length?
9
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
The hypotenuse of a right triangle is 6 meters long One leg you 1 meter than the other what is the length of the shorter leg?
5.91 m.
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.
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.
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
When A right triangle has a hypotenuse of length 20 and a leg of length 12 what is the length of the other length?
The other leg length is 16.
A right triangle has a leg length of 48 in and hypotenuse of 80 in What is the length of the other leg?
A right triangle with a leg length of 48 inches and a hypotenuse of 80 inches has a third leg of: 64 inches.
The length of the hypotenuse of a right triangle is 15 and the length of one leg is 12 what is the other length?
9
If 45- 45- 90 triangle has a hypotenuse of length 18 units What is the length of one of the legs?
If a 45- 45- 90 triangle has a hypotenuse of length 18 units, the length of both of the other legs is: 12.73 units.
What is the length of the hypotenuse of a triangle with one leg nineteen centimetres and the other leg eight centimetres?
The length of the hypotenuse of a triangle with one leg 19 cm and the other leg eight cm is: 20.62 cm
What is the length of the hypotenuse?
The length of the hypotenuse of a right triangle can be found by using the formula: a2 + b2 = c2 and solving for c. a and b are the lengths of the other two sides of the triangle. the length of the hypotenuse is the c^2 of the a^2+b^2=c^2
