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The length of equals
A: 6cm

B:

C:


The Length Of Equals A 6cm B C class=

Sagot :

The answer is D. 2√5 cm.

See attached file.

By symmetry, the red vertical line measures 4 cm. On the other hand, the red horizontal line measures 5 - 3 = 2 cm.

Notice that the line segments that measure 2 cm, 4 cm, and [tex]x[/tex] form a right triangle wherein [tex]x[/tex] is the hypotenuse of the right triangle. So by Pythagorean Theorem, we find that

[tex]2^2+4^2=x^2[/tex]

Solving for [tex]x[/tex] yields [tex]x=\sqrt{20}=2\sqrt{5}[/tex].

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