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2 years ago

The square ABCD has side length 20 cm,

Mathematics

1 answer:

bogdanovich [222]2 years ago

6 0

Answer:

AE=22.4

Step-by-step explanation:

BE is 1/2 of BC

BC is 20 cm All sides of a square are equal

BE = 1/2 BC Property of a midpoint.

BE = 10

Now just use Pythagorus

AB^2 + BE^2 = AE^2

AE^2 = 20^2 + 10^2 Perform the sqrs

AE^2 = 400 + 100 Add the terms

AE^2 = 500 Take the square root of both sides

√AE^2 = √500

AE = 22.36

AE ≈ 22.4

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