## Sunday, February 12, 2012

### Ayra's Pythagorean Post

1. Answer in a short paragraph and with diagrams
The relationship between the lengths of the side of the right triangle. The sum of the areas of the squares attached to the legs of a right triangle equals the area of a square attached to the hypotenuse.

the Pythagorean relationship can be used to show if a triangle is a right triangle.
Left side:
7 squared+6 square= 13 squared
(7x7)+(6x6)=(13x13)
49+36=85
square root of "C" squared= square root of 100cm squared is 10
C=10cm
the sum of the areas of the two smaller squares is 100cm squared.
the triangle is a right triangle.

2. Solve for the missing side length

a squared+b squared= c squared
8 squared+6 squared=11 squared
(8x8)+(6x6)=(11x11)
64+36=121
square root of "C"squared= square root of 121cm squared is 11
C=11cm
the triangle a right triangle.

3. Is this a right triangle? Prove it!!!

a squared + b squared = c squared
8 squared + 6 squared = 11 squared
(8x8) + (6x6) = (11x11)
64 + 36 = 121
It's not a right triangle because it's not equal. The legs aren't equal to the hypotenuse.