1.

If a and. b are the lenght of the parrellel sides of a trapezium of area A and height h then​

Answer»

Answer:

□ABCD is a trapezium.

Draw TWO perpendiculars from C and D on side AB intersecting AB at POINTS O and N respectively.

∴□ONCD is a rectangle and △AOD & △BNC are triangles.

Also, △AOD≅△BNC

Area of rectangle □ONCD=ON×OD

Area of △AOD =  

2

1

​  

×AO×OD

Area of □ABCD = Area (□ONCD) + 2 × Area  (△AOD)  

=(ON×OD)+2×  

2

1

​  

×AO×OD

=  

2

OD

​  

[2(ON)+2(AO)]

=  

2

h

​  

[(ON+2(AO))+ON]

=  

2

h

​  

[AB+CD]

=  

2

h

​  

×sum of PARALLEL sides


Discussion

No Comment Found

Related InterviewSolutions