Question

Construct ΔPYQ such that, PY=6.3 cm, YQ=7.2 cm,PQ=5.8cm. If YZ/YQ=6/5 , then construct ΔXYZ similar to ΔPYQ

Answer 1

Answer:

ΔPYQ is constructed

Step-by-step explanation:

Step 1 : Draw line segment PQ = 6.8 cm

Step 2 : Using compass draw ab arc of radius = 6.3 cm from point P

Step 3 : Using compass draw an arc from point Q with radius 7.2 cm such that it intersect arc drawm earlier at Y

Step 4 : Join PY & QY

ΔPYQ is constructed

ΔXYZ similar to ΔPYQ

=> XY/PY  = YZ/YQ  = XZ /PQ = 6/5

=> YZ = 6 * 7.2/5 = 8.64 cm

YX =  6*6.3/5 = 7.56 cm

Extend line YQ till YZ = 8.64 cm

& extend YP till YX  = 7.56 cm

Join XX

ΔXYZ is constructed

Answer 2

Answer:

Step-by-step explanation:Step 1 : Draw line segment PQ = 6.8 cm

Step 2 : Using compass draw ab arc of radius = 6.3 cm from point P

Step 3 : Using compass draw an arc from point Q with radius 7.2 cm such that it intersect arc drawm earlier at Y

Step 4 : Join PY & QY

ΔPYQ is constructed

ΔXYZ similar to ΔPYQ

=> XY/PY  = YZ/YQ  = XZ /PQ = 6/5

=> YZ = 6 * 7.2/5 = 8.64 cm

YX =  6*6.3/5 = 7.56 cm

Extend line YQ till YZ = 8.64 cm

& extend YP till YX  = 7.56 cm

Join XX

ΔXYZ is constructed