What is an obtuse isosceles triangle?

Understand the Problem

The question is asking for a definition and explanation of what an obtuse isosceles triangle is, specifically focusing on its characteristics such as its angles and sides.

Answer

A triangle with one obtuse angle and two equal acute angles.

An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90 degrees and 180 degrees) and the other two acute angles are equal in measurement.

Answer for screen readers

An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90 degrees and 180 degrees) and the other two acute angles are equal in measurement.

More Information

An isosceles obtuse triangle has one obtuse angle and two equal acute angles, making it unique compared to other triangles which may only have acute angles.

Tips

A common mistake is to assume equal angles are all acute or all obtuse in an isosceles triangle. Remember that in an obtuse isosceles triangle, two angles are acute and equal, while the third is obtuse.

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