Question

In a parallelogram, the lengths of adjacent sides are 11 cm and 13 cm, respectively. If the length of one diagonal is 20 cm. Find the length of the other diagonal? 14 cm13.4 cm13 cm12 cm

Answer 1

Answer:

Step-by-step explanation:

The diagonals of a parallelogram are equal...here is the mathematical calculation

Answer 2

The length of the other diagonal is 13.4 cm

• Let ABCD be the parallelogram
• Given,

            AB = 11 cm, BC = 13 cm, AC = 20 cm, BD = ?

• We know that,

                $AC^{2} + BD^{2}  = 2(AB^{2} + BC^{2}) \\20^{2} + BD^{2}  = 2(11^{2} + 13^{2}) \\400+ BD^{2}  = 2(121 + 169)\\BD^{2}  = 580 - 400\\BD^{2}  = 180\\BD = \sqrt{180} = 13.4 cm$