Question

WXY is a right triangle.

A. True.
B. False.

Answer 1

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.