Answered

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

  1. 11, 18, 21
  2. 21, 72, 75
  3. 7, 8, 11
  4. 9, 10, √161
  5. 9, 2 √10 , 11
  6. √7 , 2 √2 , √15

Verified Answer :

⇒ Pythagorean triple
 
Pythagorean triple are set of positive integers. All sums are positive. The \(c^{2}\) is the longest side of a triangle. 
 
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)


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⇒ 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 .

RASEA23

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