1. Answer in a short paragraph and with diagrams

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=10cmthe 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.

*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 hypoten**use.*

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=10cmthe 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.

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