SOLUTION: Here is the problem in exact words.
3,4,5 and 7,24,25 are examples of a Pythagorean Triple. Pythagorean Triples are made up of whole numbers. These two examples are special becau
Algebra.Com
Question 129112This question is from textbook ALGEBRA 1
: Here is the problem in exact words.
3,4,5 and 7,24,25 are examples of a Pythagorean Triple. Pythagorean Triples are made up of whole numbers. These two examples are special because in both cases the hypotenuse is 1 greater than the longer leg.
Find one where one of the legs is 37 and the hypotenuse is one more than th longer leg.
I really need help with this. Please try to get back to me as soon as possible.
This question is from textbook ALGEBRA 1
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are two possibilities:
First, the longer leg could be 37, then the hypotenuse is 38, and the shorter leg is the square root of . . Since 75 is not a perfect square, this is not the correct answer.
The other possibility is that 37 is the short leg, x is the long leg, and x + 1 is then the hypotenuse. Using Pythagoras:
So the Pythagorean triple is 37, 684, 685. I'll leave it as a exercise for you to do the arithmetic and prove it.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find one where one of the legs is 37 and the hypotenuse is one more than the longer leg.
---------------
(x+1)^2 = x^2+ 37^2
2x+1 = 37^2
2x = 1368
x = 684 (2nd leg)
x+1 = 685 (hypotenuse)
================
Cheers,
Stan H
RELATED QUESTIONS
What is two sets of Pythagorean Triples that are similar in ratio to the triple... (answered by Alan3354)
What is the missing side length in the image? Tell if the side lengths form a... (answered by josgarithmetic,MathTherapy)
The sets of numbers 7, 24, 25 and 9, 40, 41 are Pythagorean triples. Use what you know... (answered by advanced_Learner)
The numbers 3, 4, and 5 are called Pythagorean triples since 3 to the second power + 4 to (answered by mananth)
Pythagorean triples are composed... (answered by Alan3354)
pythagorean triples are composed... (answered by Edwin McCravy)
3 children are pythagorean triple at ages 6, 8, and 10. Will they be pythagorean triples... (answered by MathLover1,richard1234)
The numbers 3,4, and 5 are called Pythagorean triples since 3^2 + 4^2 = 5^2. The numbers (answered by richwmiller)
I am working on Pythagorean triples. What is the last triple of the set 20 and 48. I... (answered by robertb)