Question

△ ABC ∼ △ DEF. In △ ABC, AB = 5.2 cm, BC = 4.6 cm. ∠B = 45° and BC = 4.6

EF = 2/3 ; Construct △ DEF.​

Answer 1

Answer:

The sides of △DEF will be

2

3

times the sides of △ABC

∴DE=

2

3

×AB=

2

3

×5.2=7.8 cm

EF=

2

3

×BC=

2

3

×4.6=6.9 cm

Also, ∠E=∠B=45

∘

Construction:

Step 1: Draw base DE=7.8 cm with a ruler.

Step 2: Draw a line from E at an angle of 45

∘

with the line DE using a protractor.

Step 3: Place the compass on point E and measure an arc with length of the compass as EF=6.9 cm.

Step 4: Mark the intersection point of the arc with the line as F and join D−F.

△DEF is the required triangle.

solution

Answer 2

Step-by-step explanation:

The sides of △DEF will be

The sides of △DEF will be

2

3

times the sides of △ABC

∴DE=

2

3

×AB=

2

3

×5.2=7.8 cm

EF=

2

3

×BC=

2

3

×4.6=6.9 cm

Also, ∠E=∠B=45

∘

Construction:

Step 1: Draw base DE=7.8 cm with a ruler.

Step 2: Draw a line from E at an angle of 45

∘

with the line DE using a protractor.

Step 3: Place the compass on point E and measure an

arc with length of the compass as EF=6.9 cm.

Step 4: Mark the intersection point of the arc with the line as F and join D−F.

△DEF is the required triangle.