In ΔΔPQR, mP = 60, mQ = 30, and mR = 90. Which of the following statements about ΔΔPQR are true?Check all that apply.A.PR = • PQB.QR = • PRC.QR = • PQD.PQ = 2 • PRE.PQ = • PRF.QR = 2 • PRSUBMITarrow_backPREVIOUS

In triangle PQR, the measures of angles P, Q, and R are given as 60, 30, and 90 degrees respectively. This indicates that triangle PQR is a 30-60-90 triangle. In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.

Let's analyze each statement:

A. PR = PQ: This is not true. In a 30-60-90 triangle, the side opposite the 60-degree angle (PR) is √3 times the side opposite the 30-degree angle (PQ).

B. QR = PR: This is not true. In a 30-60-90 triangle, the side opposite the 90-degree angle (QR) is twice the side opposite the 30-degree angle (PQ), not equal to the side opposite the 60-degree angle (PR).

C. QR = PQ: This is not true. In a 30-60-90 triangle, the side opposite the 90-degree angle (QR) is twice the side opposite the 30-degree angle (PQ).

D. PQ = 2 PR: This is not true. In a 30-60-90 triangle, the side opposite the 30-degree angle (PQ) is half the side opposite the 90-degree angle (QR), not twice the side opposite the 60-degree angle (PR).

E. PQ = PR: This is not true. In a 30-60-90 triangle, the side opposite the 60-degree angle (PR) is √3 times the side opposite the 30-degree angle (PQ).

F. QR = 2 PR: This is true. In a 30-60-90 triangle, the side opposite the 90-degree angle (QR) is twice the side opposite the 30-degree angle (PQ), which is the same as the side opposite the 60-degree angle (PR).

So, the only true statement is F. QR = 2 PR.