Question

Quadrilateral BCDE is a kite.What is AC ?​

Answer 1

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