Find the area in square units of kite ABCD.

Question

Find the area in square units of kite ABCD.

15

25

Kite A B C D has four labeled vertices and a dashed line segment.

1. The first side starts at vertex A, goes up and to the right and ends at vertex B. It is labeled 15.
2. The second side starts at vertex B, goes down and to the right and ends at vertex C. Vertex C is aligned to the right of vertex A.
3. The third side starts at vertex C, goes down and to the left and ends at vertex D.
4. The fourth side starts at vertex D, goes up and to the left and ends at vertex A.
5. A vertical dashed line segment starts at vertex B and ends at vertex D. It is labeled 25.
6. ∠A and ∠C are right angles.

 units²

Answer 1

Hi Alyssa Z.

In your diagram above, the kite, is split into two congruent Right Triangles the given hypotenuse BD is 25 and the side given is AB is 15

You can use the Pythagorean Theorem to find the missing side or base, AD

AD = (25² - 15²)^1/2

AD = (625 - 225)^1/2

AD = (400)^1/2

AD = 20

You calculate the area of the Right Triangle

Area = (20)(15)/2 = 150

Since there are two congruent Right Triangle forming your kite the area of the kite is

2*150 = 300 units²

I hope this helps

Answer 2

Use Pythagoras to determine CD.

Determine the area of BCD, multiply by 2.