Question

Construct a rhombus whose diagonals are 7.2 cm and 6.4 cm. (Hint: Diagonals of a rhombus bisect each other at right angles.]​

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A nswer:

a rhombus whose diagonal are of length 6.8cm and 8.4cm is constructed

Step-by-step explanation:

a rhombus whose diagonal are of length 6.8cm and 8.4cm

As we know that diagonals of a rhombus perpendicualrly bisect Each other

Step 1  : Draw a line segment PR  = 6.8 cm using ruler

Step 2 : Draw a Perpendicular bisector of PR Using Compass

(Using Compass & opening it little bit less than PR and draw arcs on both sides of PR using P as Center then intersecting these two arcs taking R as Center)

Step 3 : Draw a Line joining intersection point of arcs

Step 4 : From the point where it intersect PR using compass cut this line = (8.4/2 = 4.2 cm both sides) and get point Q & S

Step 5 : Join PQ , QR , RS & PS

a rhombus whose diagonal are of length 6.8cm and 8.4cm is constructed

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