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Question

□ABCD is a rhombus. One of its side is 5 cm and one diagonal is 8 cm. Construct □ABCD and measure the other diagonal.


Solution

Given: Diagonal of rhombus ABCD is 8 cm and one side is 5 cm.

Steps of construction:
(1)  Draw diagonal AC = 8 cm.

(2)  Then, draw an arc taking A as centre and 5 cm as the radius one on each side of AC.

(3)  Now, draw another arc with C as the centre and 5 cm as the radius, cutting the previous arc at B and D, respectively.

(4)  Then, join AB, BC, CD and AD.

Thus, ABCD is the required rhombus.
On measuring the diagonal BD we get BD as 6 cm.

Mathematics
Mathematics(2013)
Standard VIII

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