Question

In triangle PQR , points S and T are the midpoint of sides PQ and PR respectively. If ST =9.8 cm , then

find length of QR.​

Answer 1

Answer:

according to midpoint theorem ,In ∆PQR, points S and T are the midpoints of sides PQ and PR respectively.

Length of ST =9.8 cm

To Find : Length of QR.

Solution :

Refer the attached figure

Since S and T are the midpoints of sides PQ and PR respectively and ST is parallel QR

So, by mid segment theorem i.e. the segment joining the midpoints of any two sides will be parallel to the third side and half its length in a triangle

QR=1/2 ST

QR=1/29.8

QR=4.9

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