Question

The square ABCD has side length 20 cm,

E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.

Answer 1

AE=22.4

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