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podryga [215]
1 year ago
11

Solve for x x = A C E 4 D 3 x B 4 A

Mathematics
1 answer:
raketka [301]1 year ago
8 0

After solving the value of x = 1/2.

From the figure:

AB = 4 ,BD = 3,DE = 4

AD = AB + BD

= 4+3

= 7

ADE is a right angle triangle.

AE^2 = AD^2+DE^2

= 7^2 + 4^2

= 49 + 16

= 65

AE = \sqrt{65}

AC = AE/2

= \sqrt{65}/2

ABC is a right angle triangle.

AC^2 = AB^2+BC^2

(\sqrt{65}/2)^2= 4^2+x^2

65/4 = 16 + x^2

65/4 - 16 = x^2

65 - 16*4 / 4 = x^2

1/4 = x^2

x = \sqrt{1/4}

x = 1/2

Learn more about the solving here:

brainly.com/question/24083632

#SPJ1

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