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In Δ PQR, points S and Tare the midpoints of sides PQand PR respectively.If ST = 6.2 then find the length of QR. - Geometry Mathematics 2

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Question

In Δ PQR, points S and T
are the midpoints of sides PQ
and PR respectively.
If ST = 6.2 then find the length of QR.

Sum

Solution

In Δ PQR, S and T are midpoints of side PQ and side PR.
ST = 6.2

ST= `1/2` × QR ...............(Theorem of midpoints of two sides of
a triangle.)
`∴6.2 = 1/2`× QR
∴QR = 6.2 × 2
∴QR = 12.4

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