Question

33) In a rhombus ABCD, AC = 6cm and BD =8cm , find the lengths of each sides.
​

Answer 1

answr

search

What would you like to ask?

8th

Maths

Practical Geometry

Construction of Special Quadrilaterals

Construct a rhombus ABCD wh...

MATHS

Construct a rhombus ABCD where AC=6 cm and BD=7 cm. Then, perimeter of rhombus ABCD is:

MEDIUM

Share

Study later

ANSWER

1. Draw a diagonal AC=6 cm.

2. Draw a perpendicular bisector of AC, let the perpendicular bisector and AC intersects at O (∵ Diagonals of rhombus intersects at right angle)

3. Taking O as centre and half of the length of another diagonal (i.e 3.5 cm) as radius, mark arc on the perpendicular bisector at both sides of AC. Name these intersection points as B and D

4. Join AB,AD,BC,CD.

5. ABCD is the required rhombus.

6. Measure the length of any one side (∵ All sides of rhombus are equal), which come out to be 4.6 cm

Perimeter of rhombus =4× side =4×4.6=18.4 cm