Correct Answer - Option 4 : 3 equal sides given
Concept :
In a triangle sum of all interior angles is 180°.
Option: 1
2 right angles and an acute angle
⇒ 90° + 90° + An acute angle (90° > Acute angle > 0°)
∴ The Sum of all angles is more than 180°. Triangle can't be formed.
Option: 2
2 obtuse angles and 1 acute angle
⇒ An obtuse angle is greater than 90°
∴ The Sum of all angles is more than 180°. Triangle can't be formed.
Option: 3
1 acute angle, 1 obtuse angle, and 1 right angle is given
⇒ An acute angle (90° > Acute angle > 0°) + An obtuse angle (> 90°) + 90°
∴ The Sum of all angles is more than 180°. Triangle can't be formed.
Option: 4
If all sides of the triangle are equal then the measurement of each interior angle will be 60°. The Sum of all interior angles is 180°. Triangle can be formed.
The correct option is 4 i.e. 3 equal sides given.
