Question

15. The diagram shows a trapezium ABCD. AB is parallel to DC. AB= 55 m, BD= 70
m, angle ABD= 40 degree and angle BCD=32 degree. a) Calculate AD.
C с
32°
70 m
NOT TO
SCALE
B
55 m
Your answer
b) Calculate BC.
Your answer​

Answer 1

Answer:

I hope you understand the sum

Answer 2

Answer:

Explanation:Correct option is A)

Let CD⊥AB. Then, CD=p

∴ Area of ΔABC=21​(Base×Height)

=21​(AB×CD)=21​cp

Also,

Area of ΔABC=21​(BC×AC)=21​ab

∴21​cp=21​ab

⇒cp=ab

(ii) Since ΔABC is a right triangle, right angled at C.

∴AB2=BC2+AC2

⇒c2=a2+b2

⇒(pab​)2=a2+b2[∵cp=ab⇒c=pab​]

⇒p2a2b2​=a2+b2

⇒p21​=b21​+a21​

⇒p21​=a21​+b21​