Question

What happens to the area of triangle when a) Its base is doubled, height remaining the same ? b) Its base is doubled, height is halved ? c) Its base and height are doubled ?

Answer 1

Here is your answer in attachment


hope it help you

Answer 2

Solution :

i ) Let b and h are base and

corresponding height of the

triangle .

Area of the triangle( A ) = ( bh )/2 ---( 1 )

ii ) base = 2b , height = h

Area = ( 2bh )/2 = bh

= 2A

if base is doubled , height remaining

same then area becomes doubled .

iii ) base = 2b , height = h/2

Area = [ 2b × (h/2) ]/2

= ( bh )/2

= A

Therefore ,

If base is doubled , height is halved

then Area of the triangle same .

iv ) base = 2b , height = 2h

Area = [ (2b) × ( 2h )]/2

= (bh)/2

= A

No change in area .

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