Question
Download Solution PDFIn a ∆ABC, AB = BC, and P, Q and R are the mid points of the sides AB, BC and AC, respectively. If PR = 5 cm, then find the length of QR.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In a ∆ABC, AB = BC, and P, Q and R are the mid points of the sides AB, BC and AC, respectively.
PR = 5 cm
Calculations:
According to the question,
PR = 5 cm
Then
BC = 2 × PR = 10 cm
[The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.]
In ∆ABC, If AB = BC,
Then,
AB = 10 cm
So
the From mid-point theorem,
QR = AB/2 = 10/2 = 5 cm
Hence, The Required value is 5 cm.
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