Question

Construct a parallelogram ABCD in which AB =7 cm, AC=10 cm, and BD=8cm.​

Answer 1

Step-by-step explanation:

Given:

AB = 8 cm, AD = 7 cm and BD = 9 cm.

Steps for construction

Step 1 : Draw a rough diagram and mark the given measurements.

Step 2 : Draw a line segment AB = 8 cm.

Step 3 : With A and B as centres draw arcs of radii 7 cm and 9 cm respectively and let them cut at D.

Step 4 : Join

ADand BD

.

Step 5 : With B and D as centres draw arcs of radii 7 cm and 8 cm respectively and let them cut at C.

Step 6 : Join

CD and BC

. ABCD is the required parallelogram.

Step 7 : From D draw

DE⊥ AB

and measure the length of DE. DE = h = 6.7 cm. AB = DC= b = 8 cm

Calculation of area:

In the parallelogram ABCD, b = 8 cm and h = 6.7 cm.

Area of the parallelogram ABCD = b h

= 8* 6.7 = 53.6 cm ²

.