Question

Which set of side lengths would form a right triangle? O A. (7,14,15) O B. (8,16,18) O C. (8, 15, 17) D. (9.12, 17)

Answer 1

Explanation:

well what is the formula of a triangle 1/2b*h then you take the base times the height then by one half to get your sender

Answer 2

The set of lengths of sides that forms a right triangle will be the one that satisfies Pythagoras' theorem, that is

`\begin{gathered} a^2+b^2=c^2 \\ \text{ Where a and b are the legs and c is the hypotenuse of the right triangle } \end{gathered}`

So, you have

Option A

`\begin{gathered} a^2+b^2=c^2 \\ (7)^2+(14)^2=(15)^2 \\ 49+196=225 \\ 245\\e225 \end{gathered}`

Option B

`\begin{gathered} a^2+b^2=c^2 \\ (8)^2+(16)^2=(18)^2 \\ 64+256=324 \\ 309\\e324 \end{gathered}`

Option C

`\begin{gathered} a^2+b^2=c^2 \\ (8)^2+(15)^2=(17)^2 \\ 64+225=289 \\ 289=289 \end{gathered}`

Option D

`\begin{gathered} a^2+b^2=c^2 \\ (9)^2+(12)^2=(17)^2 \\ 81+144=289 \\ 225\\e289 \end{gathered}`

Therefore, the set of side lengths that make up a right triangle is

`C.\mleft(8,15,17\mright)`

and the correct answer is C.