Question

In ∆PQR, points S and T

are the midpoints of sides PQ

and PR respectively.

If ST = 6.2 then find the

length of QR

Answer 1

Answer:

the length of QR = 12.4

Step-by-step explanation:

Given :

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

Length of ST = 6.2

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

Thus $ST=\frac{1}{2} QR$

$6.2=\frac{1}{2} QR$

$6.2*2= QR$

$12.4= QR$

Thus the length of QR = 12.4

Answer 2

plzz refer to these 3 images