SOLUTION: ABCD is a rectangle where AB = 8,AD= 6 and diagonal DB =10cm which is extended upto E, BE= 5cm, find the length of AE
Algebra ->
Rectangles
-> SOLUTION: ABCD is a rectangle where AB = 8,AD= 6 and diagonal DB =10cm which is extended upto E, BE= 5cm, find the length of AE
Log On
Question 1043602: ABCD is a rectangle where AB = 8,AD= 6 and diagonal DB =10cm which is extended upto E, BE= 5cm, find the length of AE Found 2 solutions by rothauserc, MathTherapy:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! We are given a rectangle (ABCD) whose interior angles are 90 degrees
:
Diagonal DB bisects angle ADC, also DB is a traversal which implies that angle DBA equals angle ADC = 45 degrees and angle ABE = 135 degrees
:
Law of cosines gives us the following
:
AE^2 = 8^2 + 5^2 - (8*5*cos(135)
:
AE^2 = 64 + 25 - (40*cos(135))
:
AE^2 = 89 - (-28.28)
:
AE^2 = 117.28
:
**********
AE = 10.82
**********
:
You can put this solution on YOUR website! ABCD is a rectangle where AB = 8,AD= 6 and diagonal DB =10cm which is extended upto E, BE= 5cm, find the length of AE
