Question

Please give me the correct answer ​

Answer 1

Answer: The fourth set of sides

Explanation:

For a set of side lengths to form a right triangle, they have to satisfy the Pythagorean theory
`(a^(2) +b^(2) =c^(2) )`

First set of sides

a = 7.5 b = 18 c = 21.5

`a^(2) +b^(2) =c^(2)\\7.5^(2) +18^(2) =21.5^(2) \\56.25 + 324 = 462.25\\380.25 \\eq 462.25`

Second set of sides

a = 7.5 b = 19.5 c = 21.5

`a^(2) +b^(2) =c^(2) \\7.5^(2) +19.5^(2) =21.5^(2) \\56.25 + 380.25 = 462.25\\436.5 \\eq 462.25`

Third set of sides

a = 18 b = 19.25 c = 21.5

`a^(2) +b^(2) =c^(2) \\18^(2) +19.5^(2) =21.5^(2) \\324 + 380.25 = 462.25\\704.25 \\eq 462.25`

Fourth set of sides

a = 7.5 b = 18 c = 19.5

`a^(2) +b^(2) =c^(2) \\7.5^(2) +18^(2) =19.5^(2) \\56.25 + 324 = 380.25\\380.25 = 380.25`

I hope that helped!

Answer 2

Number 2 hope this help.