Question

ΔRST~ΔXYZ. In ΔRST, RS = 4.5 cm, ∠RST=40°, ST=5.7cm. Construct ΔRST and ΔXYZ, such that RS/XY=3/5

Answer 1

Answer:

Traingles constructed

Step-by-step explanation:

First Construct ΔRST

Step 1 : Draw RS = 4.5 cm

Step 2 : Draw an angle of 40° at S using protector

Step 3 : Draw ST at the angle drawn = 5.7 cm

Step 4 : Join RT

ΔRST  is constructed

ΔRST~ΔXYZ

=> RS/XY = ST/YZ = 3/5

=> XY = 7.5 cm

& YZ - 9.5 cm

∠RST=40° = ∠XYZ

Step 1 : Draw XY = 7.5 cm

Step 2 : Draw an angle of 40° at Y using protector

Step 3 : Draw YX at the angle drawn = 9.5 cm

Step 4 : Join XZ

ΔXYZ  is constructed