Question

Can (2,3 and square root 10) be sides ona right triangle?

Answer 1

No

Explanation:

1. So we have a triangle

(2,3,√10) or (2,3, 3.16)

√10 is the greatest so it must be the hypotenuse if the right triangle

2. Use the Pythagorean Theorem

`a^2+b^2=c^2\\2^2+3^2=(√(10) )^(2) \\4+9=10\\4+9\\eq 10\\`

3. Because
`a^2+b^2` are not equal to
`c^2`, this is not a right triangle.