Question

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Answer 1

The measure of the other side of a quadrilateral is $3\sqrt{13}$ cm.

In the given quadrilateral one side is unknown we need to find the unknown side.

By dividing the given quadrilateral into a rectangle and a triangle we can find the other side.

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is, $c^{2}=a^{2}+b^{2}$.

Now, $x^{2} =9^{2}+6^{2}=81+36=17$

⇒$x=\sqrt{13 \times 9} =3\sqrt{13}$

Therefore, the measure of the other side of a quadrilateral is $3\sqrt{13}$ cm.

To learn more about Pythagoras' theorem visit:

brainly.com/question/343682.

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