A triangle can be drawn with angle measures of \( 60^{\circ}, 60^{\circ} \) and \( 70^{\circ} \) (A) true B false
Upstudy AI Solution
Answer
Solution
Answered by UpStudy AI and reviewed by a Professional Tutor


Beyond the Answer
A triangle cannot have angle measures of \( 60^{\circ}, 60^{\circ}, \) and \( 70^{\circ} \). The sum of the angles in any triangle must always equal \( 180^{\circ} \). In this case, \( 60^{\circ} + 60^{\circ} + 70^{\circ} = 190^{\circ} \), which exceeds \( 180^{\circ} \). So, the statement is false. Triangles with angles that add up to \( 180^{\circ} \) can be categorized into three types: acute, right, or obtuse. Each type offers unique properties and applications in geometry, making them essential for various mathematical and real-world scenarios, such as architecture, engineering, and design. Understanding these classifications helps in recognizing triangle behavior under different conditions.