Given that Segment AD=29, AE=21 and CE=99, find the indicated measures for each question.
Use the image below to answer Questions 14 - 16. (Look at the screenshot)

14. Find the value of x.

15. Find the value of y.

16. Find the perimeter of Kite ABCD.

14. 20

15. 101

16. 260

Step-by-step explanation:

First of all, refer to the properties of a kite. If we use those, your kite will look like the image below:

Since ΔAED and ΔAEB are right triangles, you can use the Pythagorean Theorem to solve for x:

21² + x² = 29²

441 + x² = 841

x² = 400

√x² = √400

x = 20

Now that you have x, you can use the Pythagorean Theorem to solve for y:

20² + 99² = y²

400 + 9801 = y²

10201 = y²

√10201 = √y²

101 = y

y = 101

Now that you have y, you can find the perimeter of the kite:

P = + + +

P = 2 () + 2 ()

P = 2 (29) + 2( 101)

P = 58 + 202

P = 260