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Question

Draw a triangle ABC with side BC=6 cm,AB=5 cm and ABC=60o. Then construct a triangle whose sides are 34 of the corresponding sides of the triangle ABC.

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Solution

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 AC
ABC is the given triangle.
Constructing EBD with sides 34 times the sides of ABC
Step 1: Draw a ray BX on the opposite side of A.
Step 2: Mark 4 equidistant points B1,B2,B3,B4 on ray BX
Step 3: Join B4 to point C.
Step 4: Draw B3D parallel to B4C 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.

499211_465206_ans_aae9efc4715c429ba242b5a3fd58a4a5.png

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