Question

Question 10 options: Quadrilateral ABCD is a kite. m∠BAE = 45° BD = 10 What is BE ? What is AE ?

Answer 1

Answer:

Step-by-step explanation:

∠BAE=45°

BD=10

BE=5_____(DIAGONALS OF KITE BISECT EACH OTHER)

AE⊥BD

∠AEB=90°

∠ABE=45°_-------(REMAINING ANGLE OF A Δ)

ΔAEB IS AN 45°-45° - 90° Δ

be=1/√2×ab

5√2=ab---1

AE=1/√2×HYPO  ----------(SIDE OPP. TO 45°)

AE=1/√2×5√2---(from 1)

AE=5 units.