Question

Please help :((((((

Answer 1

Answer: c)

Explanation:

This can be done through trial-and-error. Use the pythagoreas' theorem
`a^(2) +b^(2) =c^(2)` and if the left side of the equation is equal to the right, that is the answer.

(Do take note that c is the longest side.)

a)

`0.07^(2) +2.4^(2) =5.7649`

`2.5^(2)=6.25`

Since
`2.5^(2) \\eq 5.7649`, a) is wrong.

b)

`17^(2) +30^(2) =1189\\ 34^(2) =1156`

Since
`34^(2)\\eq1189`, b) is wrong.

c) (answer)

`5^(2) +12^(2) =169\\13^(2) =169`

Since
`13^(2) =169`, c) is correct.

d)

`(7x)^(2) +(12x)^(2) =193x^(2)\\(13x)^(2) =169x^(2)`

Since
`(13x)^(2) \\eq193x^(2)`, d) is wrong.