Awesomexer
Answered

Which set of numbers does not represent the sides of a right triangle?


1) {6,8,10}

2){8,15,17}

3){8,24,25}

4){15,36,39}


Please explain

Verified Answer :

Eugenie0831

it would be number 1 because if you use the pythagorean theorem (a^2+b^2=c^2), 6^2+8^2=10^2, which would be 36+64=100, which is correct! If you try putting in all of the other 3 numbers in the formula, they will not work :)

{8,24,25} is a set of numbers that do not represent the sides of a right triangle. Option C is correct.

Given that,
The set of numbers given in the options represents the sides of a right triangle, which set of numbers does not represent the sides of a right triangle is to be determined.


What are Pythagorean triplets?  

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.

If the triangle is right angle triangle it must follow the Pythagorean theorem,i.e.

Hypotenuse² = perpendicular ² + base ²
Applying this formula for the set of values in the options.

1) {6,8,10}
10² = 6² + 8²
100 = 36 + 64
100 = 100

2) {8,15,17}
17² = 15² + 8²
289 = 225 + 64
289 = 289

3) {8,24,25}
25² = 8² + 24²
625 = 64 + 576
625 ≠ 640

4) {15,36,39}
39² = 15² + 36²
1521 = 225 + 1296
1521 = 1521

Thus,{8,24,25} is a set of numbers that do not represent the sides of a right triangle. Option C is correct.

Learn  more about Pythagorean triplets here:

https://brainly.com/question/88177

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