Question

How to construct a parallelogram with height and angle given

Answer 1

Answer:PARALLELOGRAM WHEN ONE SIDE , A DIAGONAL AND ALTITUDE IS GIVEN - EXAMPLE

concept

Construct a Parallelogram PQRS when PQ=3 cm , Diagonal PR=4.4 cm and an altitude 2.2 cm

Given:PQ=3 cm , Diagonal PR=4.4 cm and an altitude 2.2 cm

Step 1: Draw a line segment PQ=3 cm

Step 2: At Q construct a perpendicular QF  

Step 3: Cut off 2.5 cm on QF and locate point T; QT = 2.2 cm . Draw perpendicular to QF at T

Step 4: With P as center and radius 4.4 cm, draw an arc to cut the second perpendicular in R

Step 5: With R as center and radius = PQ draw an arc to cut the line through F and R in S

Step 6: Join PS and QR

The PQRS is the required parallelogram

Step-by-step explanation:

Answer 2

Answer:

Construct a line segment AB = 4 cm. Construct a 60˚ angle at point A. Step 2: Construct a line segment AD = 5 cm on the other arm of the angle. Then, place the sharp point of the compasses at B and make an arc 5 cm above B.

Step-by-step explanation:

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