Question

A rhombus ABCD in which AB=3cm and angle B=110 degree

Answer 1

Step-by-step explanation:

Given: AB=7 cm and ∠A=60

∘

.

Steps for construction

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

Step 2 : Draw a line segment AB=7 cm.

Step 3 : At A on

AB

make ∠BAX whose measure is 60

∘

.

Step 4 : With A as centre draw an arc of radius 7 cm. This cuts \vec {AX} at D.

Step 5 : With B and D as centres draw arcs of radius 7 cm and let them cut each other at C.

Step 6 : Join

BC

and

DC

.

ABCD is the required rhombus.

Step 7 : Measure the lengths AC and BD.

AC=d

1

=12.2 cm and BD=5

d² =7 cm.