Question

Determine whether each set of measures can be sides of right triangle. Then determine whether they form a Pythagorean triple.

4. 11, 18, 21
5. 21, 72, 75
6. 7, 8, 11
7. 9, 10, √161
8. 9, 2 √10 , 11
9. √7 , 2 √2 , √15

Answer 1

⇒ Pythagorean triple

Pythagorean triple are set of positive integers. All sums are positive. The
`c^(2)` is the longest side of a triangle.


`a^(2)` +
`b^(2)` =
`c^(2)`


______________________________________

⇒ 11, 18, 21
This can`t be a right triangle. They do not form a Pythagorean Triple.

⇒ 21, 72, 75
This can be a right triangle. It forms a Pythagorean Triple.

⇒ 7, 8, 11
This can not be a right triangle. It does not form a Pythagorean Triple.

⇒ 9, 10, √161
This can not be a right triangle, It is not a Pythagorean Triple.

⇒ 9, 2 √10 , 11
This can not be a right triangle. It is not a Pythagorean Triple

⇒ √7 , 2 √2 , √15
This can not be a right triangle. It is not a Pythagorean Triple .

Answer 2

I used the formula a^2+b^2=c^2

The biggest number is c, and it doesn't matter which one is a or b.

4.11, 18, 21
No,no

5.21, 72, 75
Yes,yes

6.7, 8, 11
No,no

7. 10, √161
No,no

8.9, 2 √10 , 11
No,no

9.√7 , 2 √2 , √15
No,no