Mathematics

Problem

Parallelogram

ABCD

has diagonal

BD

. If

AB = 7.2\,\text{cm}

and

BC = 4.5\,\text{cm}

, the length of

AD

is a)

7.2\text{ cm}

5.85\text{ cm}

4.5\text{ cm}

8.5\text{ cm}

Intuitive explanation

In a parallelogram, opposite sides are always equal in length. Since $AD$ is opposite to $BC$ , and $AB$ is opposite to $DC$ , you just need to identify which side $AD$ corresponds to. The diagonal $BD$ is a red herring here—it doesn't affect the side lengths. Focus on the defining property of parallelograms: opposite sides are congruent.

Intuitive explanation

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