Question

If in a trapezium ABCD, AB is parallel to CD,∠A = ∠D = 90°,∠C = 120°, DC= 28 cm and BC = 40 cm, then find the lengths of AB and AD. Also find the perimeter of ABCD.​

Answer 1

Answer:

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Answer 2

Answer:

Trapezium ABCD is drawn in figure.

AE=(18−12) cm =6 cm

Δ AED is a right-angled Δ

∴(AD)  

2

+(ED)  

2

+(AE)  

2

 

10  

2

=h  

2

+6  

2

 

∴h=  

100−36

​  

 

h=8 cm

Area of trapezium=  

2

1

​  

×Sum of parallel sides×Distance between them.

=  

2

1

​  

(18+12)×8

=  

2

1

​  

(30)×8

=30×4 =120 cm  

2

.

Step-by-step explanation:

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