SOLUTION: I am trying to help my son with his homework and am lost. The Pytha gorean Theorem The question is: Do the following lengths form a right angle? We then have a triangle with a

Algebra ->  Pythagorean-theorem -> SOLUTION: I am trying to help my son with his homework and am lost. The Pytha gorean Theorem The question is: Do the following lengths form a right angle? We then have a triangle with a      Log On


   



Question 419427: I am trying to help my son with his homework and am lost.
The Pytha gorean Theorem
The question is: Do the following lengths form a right angle?
We then have a triangle with a base of 9, the left side is 6 and the right side is 8.
Where do I even begin?
Thank you for your assistance.

Found 2 solutions by duckness73, stanbon:
Answer by duckness73(47) About Me  (Show Source):
You can put this solution on YOUR website!
If you have a right triangle, the longest side MUST be the hypotenuse (that is, the side opposite the right angle). In this case, if the triangle you have specified is a right triangle, then the side with the length of 9 MUST be the hypotenuse.
The Pythagorean Theorem states that a%5E2+%2B+b%5E2+=+c%5E2 where c is the length of the hypotenuse and a & b represent the lengths of the other two sides. So, if the lengths that you have in the problems fit into the formula, the triangle is a right triangle. Let's see if that is the case:
a%5E2+%2B+b%5E2+=+6%5E2+%2B+8%5E2+=+36+%2B+64+=+100
The length of the hypotenuse is 9 and 9%5E2 = 81 which is NOT 100.
Therefore the triangle is NOT a right triangle.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The question is: Do the following lengths form a right angle?
We then have a triangle
with a base of 9,
the left side is 6 and
the right side is 8
-----------------------------
Pythagoras says
the square of the hypotenuse of a right triangle
equals the sum of the squares of the other two sides.
-----
If your triangle is a right triangle,
9^2 = 6^2 + 8^2
---
81 = 36 + 64
81 = 100
---
That is not true, so you do not
have a right triangle.
===========================
Thanks for helping.
===========================
Cheers,
Stan H.