Answer:
B. False
Step-by-step explanation:
According to pythagorean theorem, for this to be a right triangle, the sum of square of the length of the two legs must equal square of the length of the hypotenuse (longest side).
So \((\sqrt{34} )^{2}\) should equal \((\sqrt{18} )^{2}+(\sqrt{18} )^{2}\)
- We also know that \((\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a\)
Hence, \((\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36\) , and
\((\sqrt{34} )^{2}=34\)
They ARE NOT EQUAL, so the triangle is NOT a right triangle.
