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Use the diagram and the Pythagorean Theorem to find the EXACT area of square ABCD

A) 23

B) 24

C) 25

D) 26

Use the diagram and the Pythagorean Theorem to find the EXACT area of square ABCDA 23B 24C 25D 26 class=

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ANSWER

The area of square ABCD is
[tex]25 \: square \: unit[/tex]

EXPLANATION

The area of square ABCD is the square of the length of one side.

That is the area of ABCD is |AD|²

From Pythagoras theorem,

[tex] {|AD|}^{2} = { |AG| }^{2} + { |GD| }^{2} [/tex]

We can read from the graph that, each box is one unit.

This implies that,

[tex] {|AD|}^{2} = {4}^{2} + {3}^{2} [/tex]


[tex] {|AD|}^{2} =16 + 9[/tex]

[tex] {|AD|}^{2} =25[/tex]

Therefore the area of square ABCD is 25 square units.

The correct answer is option C.

Answer:

c. 25

Step-by-step explanation:

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