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Need help ASAP. Need to finish so I can graduate

Need help ASAP. Need to finish so I can graduate-example-1

2 Answers

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I have included the work and answer in the picture attached below:
Need help ASAP. Need to finish so I can graduate-example-1
User Bcmpinc
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1 vote

Answer:

D.
h=5√(2)

Explanation:

We have been given an image of a square. We are asked to find the diagonal of our given square.

We know that all angles of square are right angles and diagonal of square divides it in two congruent right triangles.

We will use Pythagoras theorem to solve for diagonal as:


\text{Hypotenuse}^2=\text{Leg}^2+\text{Perpendicular}^2


h^2=5^2+5^2


h^2=25+25


h^2=50

Upon taking square root of both sides of our equation, we will get:


h=√(50)


h=√(2* 25)


h=5√(2)

Therefore, the diagonal of our given square is
5√(2) and option D is the correct choice.

User Didier
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