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
square root of "C" squared= square root of 100cm squared is 10
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
square root of "C"squared= square root of 121cm squared is 11
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.

No comments:

Post a Comment