Which of the following is true about ΔRHM?

In Rhombus RHOM,

If HM is constructed, which of the following is true about ΔRHM?
A. ΔRHM is acute and scalene
B. ΔRHM is acute and isosceles, but not equilateral
C. ΔRHM is obtuse and isosceles, but not equilateral
D. ΔRHM is acute and equilateral
E. ΔRHM obtuse and scalene

Correct Answer: D
Explanation/Reference:
Explanation:
The figure referenced is below.

Consecutive angles of a rhombus are supplementary – as they are with all parallelograms – so

A diagonal of a rhombus bisects its angles, so

A similar argument proves that

Since all three angles of ΔRHM measure 60°, the triangle is acute. It is also equiangular, and, subsequently, equilateral.

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