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PLEASE HELP AND HURRY!!!

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.

PLEASE HELP AND HURRY Given That Segment AD29 AE21 And CE99 Find The Indicated Measures For Each Question Use The Image Below To Answer Questions 14 16 Look At class=
PLEASE HELP AND HURRY Given That Segment AD29 AE21 And CE99 Find The Indicated Measures For Each Question Use The Image Below To Answer Questions 14 16 Look At class=

Sagot :

Answer:

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 = [tex]side_{1}[/tex] + [tex]side_{1}[/tex] + [tex]side_{2}[/tex] + [tex]side_{2}[/tex]

P = 2 ([tex]side_{1}[/tex]) + 2 ([tex]side_{2}[/tex])

P = 2 (29) + 2( 101)

P = 58 + 202

P = 260

View image crystal3603813