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LUCKY_DIMON [66]
3 years ago
14

If ABCD is a square and AB = 10, what is the measure of CE to the nearest hundredth?

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

AC=14.14\ units

Step-by-step explanation:

<em><u>The correct question is </u></em>

If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)

see the attached figure to better understand the problem

we know that

All four sides of the square are congruent and all four interior angles are equal to 90°.

so

AB=BC=CD=AD

In the right triangle ACD

Applying the Pythagorean Theorem

AC^2=CD^2+AD^2

we have that

CD=AD=AB=10\ units

substitute the given value

AC^2=10^2+10^2

AC^2=200

AC=\sqrt{200}\ units

AC=14.14\ units

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