Q. 3 4.4( 37 Votes )

RST ~ XYZ. In RST, RS = 4.5 cm, RST = 40°, ST = 5.7 cm. Construct RST and XYZ, such that

Answer :

First we draw a triangle RST, with RS = 4.5 cm, RST = 40° cm and ST = 5.7 cm



Now, as ΔRST is similar to ΔXYZ,


corresponding sides will have same ratio


Now, as




XY = 7.5 cm



YZ = 9.5 cm


Also, Corresponding angles of similar triangles are equal


RST = XYZ = 40°


Now, draw a triangle XYZ, with XY = 7.5 cm, XYZ = 40° cm and YZ = 9.5 cm.



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