Question

Length QR=2cm and length RS=4cm what will be the length of sides Q Tand TP?​

Answer 1

Answer:

I don't know good morning

Answer 2

Answer:

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△PQR area△PST=PR^2/PT^2

area△PQR area△PST=(PT+TR)24^2

area△PQR area△PST=(4+4)216=82/16=64/16=41

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

1:4.