Question

Which of the following statements are true$\left(T\right)$ and which are false$\left(F\right)$

$viii)$ If one angle of a triangle is obtuse, then it cannot be a right-angled triangle

Answer 1

Statement: If one angle of a triangle is obtuse, then it cannot be a right-angled triangle

Suppose one of the angle of right-angled triangle is obtuse than the sum of the two angles will be more than ${180}^{\circ }$ which Contradicts the law of Triangle.

Hence right- angled Triangle is not possible.

Hence the statement is True.