What is qr ? enter your answer in the box. units the figure shows what appears to be obtuse triangle q r s with obtuse angle r. point t is on side q r. single tick marks pass through segments q t and t r. point u is on side r s. double tick marks pass through segments r u and u s. point v is on side s q. triple tick marks pass through segments s v and v q. segment t v is drawn and has length 5.4. segment u v is drawn and has length 6.

The value of QR is 12.

Explanation:

It is given that the Points T,U, V are midpoints of the sides of ΔQRS . TV =5.4 and UV = 6.

The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.

Since U and V are midpoints of RS and SQ respectively.

So by midpoint theorem length of QR is twice of UV.

Therefore, the length of QR is 32.

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