Construct a Parallelogram Abcd Such that L(Bc) = 7 Cm, M∠Abc = 40° , L(Ab) = 3 Cm. - Mathematics

QUESTION

Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40° , l(AB) = 3 cm.

SOLUTION

Maharashtra Board Class 8 Maths Solutions Chapter 8 Quadrilateral Constructions and Types Practice Set 8.3 3
Opposite sides of a parallelogram are congruent.
∴ l(AB) = l(CD) = 3cm
l(BC) = l(AD) = 7 cm


Steps of Construction:

Step 1: Draw BC = 7 cm.

Step 2: Draw ∠XBC = 40° .

Step 3: With B as centre and radius 3 cm, draw an arc cutting the ray BX at A.

Step 4: With C as centre and radius 3 cm, draw an arc.

Step 5: With A as centre and radius 7 cm, draw an arc cutting the previous arc at D.

Step 6: Join AD and CD.


Maharashtra Board Class 8 Maths Solutions Chapter 8 Quadrilateral Constructions and Types Practice Set 8.3 4