Question

A triangle $△XYZ$ is given in which, $X{Y}^2=Y{Z}^2+Z{X}^2.$ Then which of the following is correct ?

• A. $\angle Z={90}^o$
• B. $\angle Y={90}^o$
• C. $\angle X={90}^o$
• D. None

Answer 1

The correct option is A $\angle Z={90}^o$

As $X{Y}^2=Y{Z}^2+Z{X}^2,$

we can say that $XY$ is hypotaneous.
The angle in opposite to hypotaneous is a right angle.


So, $\angle Z={90}^o$
Hence, option$\left(a\right)$ correct.