Question

Which one of the following defines an obtuse angled triangle?

• A. Measure of one angle is equal to ${90}^{\circ }$.
• B. Measure of one angle is greater than ${90}^{\circ }$.
• C. Measure of all the angles are less than ${90}^{\circ }$.
• D. Measure of two angles are greater than ${90}^{\circ }$.

Answer 1

The correct option is B Measure of one angle is greater than ${90}^{\circ }$.

If the measure of any one angle of a triangle is greater than ${90}^{\circ }$, then it is called a obtuse angled triangle.

For example:
Here, the value of $\angle CAB={110}^{\circ }$ which is greater than ${90}^{\circ }$.
Thus, $△ABC$ is an obtuse angled triangle.