construct the Rhombus ABCD ?
AC=6 cm
BD=4 cm
( Class 8 ka ha ) answer bhejna please
Answers
Answer:
40.7
Step-by-step explanation:
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 ∠ABD which come out to be 40.7˚.
Given : AC=6 cm
BD=4 cm
To Find : construct the Rhombus ABCD
Solution:
Diagonal of Rhombus bisect each other.
Step 1: Draw a line segment AC = 6 cm
Step 2 : Using compass width more than 3 cm , and taking A as center , draw arcs on both sides of AC
Step 3 : Keeping compass width same and taking A as center , draw arcs on both sides of AC such that it intersect arcs drawn in previous step at X and Y
Step 4 : Join X and Y , intersecting AC at O
Step 5 : Using compass width = 2 cm (BD/2 = 4/2 = 2) and taking O as center cut XY at B and D
Step 6 : Join AB , BC , CD and AD
Rhombus ABCD is constructed
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