PLEASE HELP! URGENT! 40 POINTS! Will award brainliest!

If quadrilateral ABCD is a square and the length of BD is 6cm, what is the length of AE?

PLEASE HELP URGENT 40 POINTS Will award brainliest If quadrilateral ABCD is a square and the length of BD is 6cm what is the length of AE class=

Respuesta :

3. it is half the length of BD
As stated in the definition of a 'square': Sides and angles are all congruent and have the same measurement.

Find 1/2 of the square, use ΔADC.

Side AD and DC are 6 cm (given).

∠D is a 90° angle (definition of a square).

Because this is now an isosceles triangle, use the 1,1,√2 formula

1 = 6
1 x √2 = 6 x √2
6 x √2 = 8.485 (rounded)

8.485 is the measurement of AC. Divide it by half to find AE

8.485/2 = 4.2426 (rounded)

4.24  should be your answer

hope this helps