Question

In the figure, PQ = QR = RS = SP = SQ =6cm and PT = RT = 14cm.
Then length of st is​

Answer 1

Step-by-step explanation:

In the figure, PQ = QR = RS = SP = SQ =6cm and PT = RT = 14cm.

Then length of st is

In the PQR, S and T are points on sides PQ and PR respectively such that

ST∥QR. If PT = 1 cm; PS=1.5 cm and SQ=3 cm, then find RTANSWER

Given:

ST∥QR

PT= 4 cm

TR = 4cm

In △PST and △PQR,

∠SPT=∠QPR(Common)

∠PST=∠PQR (Corresponding angles)

△PST∼△PQR(By AA similarity criterion)

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

area△PQRarea△PST=PR2PT2

area△PQRarea△PST=(PT+TR)242

area△PQRarea△PST=(4+4)216=8216=6416=41

Thus, the ratio of the areas of △PST and △PQR is 

1:4.

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