http://www.ck12.org Chapter 8. Right Triangle Trigonometry
Example C
Is 20, 21, 29 a Pythagorean triple?
If 20^2 + 212 is equal to 29^2 , then the set is a triple.
202 + 212 = 400 + 441 = 841
292 = 841
Therefore, 20, 21, and 29 is a Pythagorean triple.
Example D
Determine if the triangle below is a right triangle.
Check to see if the three lengths satisfy the Pythagorean Theorem. Let the longest sides representc, in the equation.
a^2 +b^2 =c^282 + 162 =(
8
√
5
) 2
64 + 256 = 64 · 5
320 = 320
The triangle is a right triangle.
Watch this video for help with the Examples above.
MEDIA
Click image to the left for more content.CK-12 Foundation: Chapter8PythagoreanTheoremandPythagoreanTriplesB
Concept Problem Revisited
To make the walls perpendicular, find the length of the diagonal.
652 + 722 =c^2
4225 + 5184 =c^2
9409 =c^2
97 =cIn order to make the building rectangular, both diagonals must be 97 feet.