Question

5. Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and Z ABC = 60°, Then construct
3
a triangle whose sides are
4
of the corresponding sides of the triangle ABC.​

Answer 1

Answer:

Constructing △ABC:

Step 1: Draw base BC of length 6 cm using a ruler.

Step 2: Draw a ray from point B at an angle of 60

∘

.

Step 3: Mark an arc of radius 5 cm on the ray is drawn from B and label the intersection point as A. Join A−C

△ABC is the given triangle.

Constructing △EBD with sides

4

3

times the sides of △ABC

Step 1: Draw a ray BX on the opposite side of A.

Step 2: Mark 4 equidistant points B

1

,B

2

,B

3

,B

4

on ray BX

Step 3: Join B

4

to point C.

Step 4: Draw B

3

D parallel to B

4

C and mark the intersection point with line BC as D.

Step 5: Draw DE parallel to CA and mark the intersection point with AB as E.

△EBD is the required triangle.

solution