The figure shows a right triangle AEB on a rectangle CBED.
What is the length of side AD?
A.36.21 cm
B.45.32 cm
C.81.96 cm
D.94.38 cm

Question

The figure shows a right triangle AEB on a rectangle CBED. 
What is the length of side AD? 
A.36.21 cm 
B.45.32 cm 
C.81.96 cm 
D.94.38 cm

anonymous · Answer

attachment

anonymous · Answer

30√3 + 30

anonymous · Answer

You just use the ratios for 30-60-90 and 45-45-90 ratios.

anonymous · Answer

can you explain please

anonymous · Answer

Sure. A rectangle has 2 pairs of congruent sides. Therefore, the other side is 30. Then, using the 30-60-90 ratio, the other side length in a rectangle is 30√3. Then, the 45-45-90 ratio makes it 30 for the other side of the other quadrilateral.

anonymous · Answer

what is the answer because im not sure if its A or B

anonymous · Answer

Neither. It's C. 30√3 is approximately 51.96. Then you add 30.

anonymous · Answer

okay thanks for helping