Converse of Pythagorean Theorem

Q. The sides of a triangle are $6$ cm, $8$ cm and $10$ cm. Then the largest angle of the triangle is -

1. ${100}^o$
2. ${80}^o$
3. ${95}^o$
4. ${90}^o$

Q.

In the right-angled triangle $PQR,$if $\angle Q={90}^o$

then $P{Q}^2+Q{R}^2=$_________.

Q. If the sum of square of two smaller sides is equal to the square of third side then the triangle will definitely have one of its angles as -

1. ${60}^o$
2. ${70}^o$
3. ${80}^o$
4. ${90}^o$

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

1. $\angle Z={90}^o$
2. $\angle Y={90}^o$
3. $\angle X={90}^o$
4. None

Q. The triangle have the sides 3 cm, 50 cm and 51 cm.
Is this a right-angled triangle?State whether Yes/No.

Q. Which of the following 3 line segments join together to form a right triangle?

1. 2, 3, 4
2. 3, 4, 5
3. 3, 3, 5
4. 4, 4, 5

Q. If the sides of triangle are $10\text{cm},5\sqrt{5}\text{cm}\&15\text{cm}$ and one angle of the triangle is ${50}^o$.
What is the smallest angle of the triangle?

1. ${40}^o$
2. ${50}^o$
3. ${90}^o$
4. None of the above.

Q.

State the converse of Pythagoras Theorem.