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Aptitude · Q132

Triangles

Competitive Exams · Aptitude · question 132

Q132

PQR is an equilateral triangle. MN is drawn parallel to QR such that M is on PQ and N is on PR. If PN = 6 cm, then the length of MN is:

A.
3 cm
B.
6 cm
Answer
C.
12 cm
D.
4.5 cm

Answer: Option B

Solution

Answer: Option B
Solution:
∵ ΔPQR ∼ ΔPMN
∵ ΔPQR is equilateral
∴ PQ = PR = QR
Triangles mcq solution image
So, ΔPMN must be equilateral
So, MN = PN = 6 cm