Please provide an explanation if possible. I'd like to learn how to do this, and my teachers aren't doing well helping me.

Given that Segment AD=29, AE=21, and CE=99, find the indicated measures for each question.
X=
Y=
Find the perimeter of Kite ABCD =

Please provide an explanation if possible Id like to learn how to do this and my teachers arent doing well helping me Given that Segment AD29 AE21 and CE99 find class=

Respuesta :

Answer:

The answer to your question is x = 20; y = 101; Perimeter = 260

Step-by-step explanation:

Data

AD = 29

AE = 21

CE = 99

x = ?

y = ?

Perimeter ABCD = ?

Process

1.- Find x

DE = BE

Find DE using the Pythagorean theorem

              AD² = DE² + AE²

Solve for DE

             DE² = AD² - AE²

Substitution

             DE² = 29² - 21²

Simplification

             DE² = 841 - 441

             DE² = 400

Result

            DE = 20

2.- Find y

Use the Pythagorean Theorem to find DC (y)

            DC² = DE² + CE²

- Substitution

            DC² = 20² + 99²

- Simplification

            DC² = 400 + 9801

            DC² = 10201

-Result

             DC = 101

3.- Find the perimeter                        

     Perimeter = AD + DC + BC + AB

- Substitution

      Perimeter = 29 + 101 + 101 + 29

- Result

       Perimeter = 260    

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