Question

Which of the following sets of numbers could not represent the three sides of a righttriangle?{36, 76,85}Submit Answer{7, 24, 25){6,8,10}{21, 28, 35)

Answer 1

`\mleft\{36,76,85\mright\}`

Explanation:

The right angles fulfill the Pythagorean theorem which is the following

`h^2=a^2+b^2`

We evaluate each option, replacing:

`\begin{gathered} 25^2=7^2+24^2\rightarrow625=625\text{ correct option} \\ 85^2=36^2+76^2\rightarrow7225=7072\text{ incorrect option} \\ 10^2=6^2+8^2\rightarrow100=100\text{ correct option} \\ 35^2=28^2+21^2\rightarrow1225=1225\text{ correct option} \end{gathered}`