Question

Please help :((((((

Answer 1

Answer: c)

Step-by-step 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 $2.5^{2} \neq 5.7649$, a) is wrong.

b)

$17^{2} +30^{2} =1189\\ 34^{2} =1156$

Since $34^{2}\neq1189$, 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 $(13x)^{2} \neq193x^{2}$, d) is wrong.