In ∆PQR, m P = 60°, m Q = 30°, and m R = 90°. Which of the following statements about ∆PQR are true? Check all that apply.

A. PQ = √3 • PR

B. PQ = 2 • PR

C. QR = 2 • PR

D. QR = √3/2 • PQ

E. QR = √3 • PR

F. PR = √3/2 • PQ​

Respuesta :

Answer:

C. QR = 2 • PR

Step-by-step explanation:

According to given information we can draw a right triangle with angle measures as follows :

30-60-90 and for this special right triangle the side length would follow as:

The side length that sees angle measure 30 = a

The side length that sees angle measure 60 = a[tex]\sqrt{3}[/tex]

The side length that sees angle measure 90 = 2a

following this information the:

PR(sees 30 degrees) = a (can be represented as PR in this case)

and so

QR(sees 90 degrees) = 2a (2*PR  in this case)

PQ(sees 60 degrees) = a[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] *PQ in this case)

The correct option is C. QR = 2 • PR