1 year ago

Quadrilateral BCDE is a kite.What is AC ?

Mathematics

1 answer:

ziro4ka [17]1 year ago

4 0

Answer:

AC is 45 units

Step-by-step explanation:

Given kite BCDE and

CD = 53 units
AD = 28 units
AC = ?

We know diagonals of kite are perpendicular to each other, hence ADC is a right triangle.

Using Pythagorean, find the missing side AC:

$AC^2 +AD^2=CD^2$
$AC^2=CD^2-AD^2$
$AC=\sqrt{CD^2-AD^2}$
$AC=\sqrt{53^2-28^2} =\sqrt{2025} =45$

So AC is 45 units long

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