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oksano4ka [1.4K]
2 years ago
13

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

Mathematics
2 answers:
yuradex [85]2 years ago
8 0

Answer:

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

Fiesta28 [93]2 years ago
7 0

Answer:

B. 5\sqrt{2}

Step-by-step 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=\sqrt{50}

Simplify the radical

c=\sqrt{25*2} \\c=5\sqrt{2}

I hope this helps!

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