Question

in triangle PQR, S and T are the midpoints
PR = 24cm, QR = 13cm and thhe perimeter of triangle PQR is 52 cm. Find the lengths of QT and TS
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Answer 1

please brainleist my answer

brother i've considered midpoints as Midpoint of PR Is S And Of QR Is T.

Answer 2

In triangle PQR, SandT are the mid points, PR=24cm, QR=13cm and the perimeter of the triangle PQR is 52cm. The length of QT is 7.5cm and TS is 13cm.

Stepwise explanation is given below

- It is given that

QR=13cm

PR=24cm

- QT=PT because T is midpoint of PQ......(1)

Perimeter=PQ+QR+PR=52cm

PQ+13+24=52

PQ=52-37

PQ=15cm

For QT

PQ=QT+PT

15=QT+QT......[FROM(1)]

15=2QT

QT=7.5cm

- By the converse of b.p.t.

QR||ST,QR=ST

QR=ST=13cm