Question 91

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

Solution

In a parallelogram, $$2(AB^2 + AB^2) = AC^2 + BD^2$$

Hence, $$BD^2 = 2(7^2 + 9^2) - 8^2 = 196$$ or BD = 14

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