Question

what type of triangle is this? equilateral right scalene isosceles

Explanation:

To determine the type of triangle, we analyze the given triangle \( \triangle GHJ \). In the triangle, \( \angle G \) and \( \angle J \) are equal (as indicated by the same angle markings), which implies that the sides opposite these angles ( \( HJ \) and \( HG \)) are equal. We know \( HG = 6 \), so \( HJ \) should also be equal to 6. A triangle with at least two equal sides is an isosceles triangle. Let's analyze the other options:

• Equilateral: Requires all three sides to be equal. We only know two sides are equal (assuming the third side is different or not given as equal), so it's not equilateral.
• Right: There is no right - angle marking (like a square corner) in the triangle, so it's not a right triangle.
• Scalene: A scalene triangle has all three sides of different lengths. But we have at least two sides equal, so it's not scalene.

Answer:

D. isosceles