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What is the length of the diagonal of the square shown below?

What is the length of the diagonal of the square shown below?-example-1

2 Answers

1 vote

Answer:

option (B) is correct ......

What is the length of the diagonal of the square shown below?-example-1
User REW
by
7.1k points
6 votes

Answer:

B.
5√(2)

Explanation:

Hi there!

Notice how the diagonal splits the square into two right triangles. To find the length of the diagonal, we can use the Pythagorean theorem:
a^2+b^2=c^2 where a and b are the legs of a right triangle and c is the hypotenuse, or the side opposite the right angle.

In this case, a is 5, b is 5 and we're trying to solve for c.


a^2+b^2=c^2

Plug in the known values


5^2+5^2=c^2\\25+25=c^2\\50=c^2\\c=√(50)

Simplify the radical


c=√(25*2) \\c=5√(2)

I hope this helps!

User Deau
by
7.6k points

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