SOLUTION: My teacher had a question on my qiuz today that had a triangle with only one side. That side was the hypotenuse and the value was 25. The question was to find the missing sides. Ro

Algebra ->  Pythagorean-theorem -> SOLUTION: My teacher had a question on my qiuz today that had a triangle with only one side. That side was the hypotenuse and the value was 25. The question was to find the missing sides. Ro      Log On


   



Question 1014055: My teacher had a question on my qiuz today that had a triangle with only one side. That side was the hypotenuse and the value was 25. The question was to find the missing sides. Round to the nearest ten . Can you please explain to me how to find this answer.
Found 3 solutions by fractalier, ikleyn, MathTherapy:
Answer by fractalier(6550) About Me  (Show Source):
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Well, given what you have told us, there are an infinite number of possibilities...as long as a^2 + b^2 = 25^2...NOW, if the legs have integer values, then the legs are 15 and 20...they make a 3-4-5 right triangle...

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
My teacher had a question on my qiuz today that had a triangle with only one side. That side was the hypotenuse and the value was 25.
The question was to find the missing sides. Round to the nearest ten. Can you please explain to me how to find this answer.
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1. First solution is  {3, 4, 5}:  3%5E2+%2B+4%5E2 = 5%5E2 as everybody knows.

2. The second solution is to take one leg of an arbitrary length less then 5:
   any  x,  0 < x < 5.
   Then calculate  y = sqrt%285%5E2+-+x%5E2%29.
   It will be the second leg.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
My teacher had a question on my qiuz today that had a triangle with only one side. That side was the hypotenuse and the value was 25. The question was to find the missing sides. Round to the nearest ten . Can you please explain to me how to find this answer.
You failed to provide pertinent information that could be used to determine the type of right triangle, and then the missing sides. 
It appears to be a special triangle, but is it a 3-4-5, a 30-60-90, or a 45-45-90 special triangle?