Question

6. If ABCD is a square and AD = 11, find each missing value.

Answer 1

If ABCD is a square, all sides are 11 and all angles are 90 degrees, so:

BC = AD = 11

AC = BD = 11√2

EC = AC - AE = 11√2 - 11 = 11(√2 - 1)

mDAB = 90 degrees

mAEB = 180 - mDAB = 90 degrees

mCBD = 90 degrees

mBAC = 45 degrees

Explanation: