Question

Triangle RST~ TRIANGLE XYZ.In triangle RST, RS =4.5 cm, angle RST =40° , ST = 5.7 cm. Construct triangle XYZ such that RS/XY=3/5

Answer 1

Answer:

Step-by-step explanation:

Triangle RST~ TRIANGLE XYZ.In triangle RST, RS =4.5 cm, angle RST =40° , ST = 5.7 cm. Construct triangle XYZ such that RS/XY=3/5

ΔRST ≅ ΔXYZ

∠XYZ = ∠RST = 40°

RS/XY = ST/YZ  = 3/5

4.5/XY = 5.7/YZ  = 3/5

=> XY = 5 * 4.5/3 = 7.5 cm

=> YZ = 5 * 5.7/3 = 9.5  cm

Using XY = 7.5 cm , YZ = 5 * 5.7/3 = 9.5  cm  & ∠XYZ =40°

ΔXYZ can be constructed

Answer 2

Step-by-step explanation:

Draw fair figure same as rough figure.