Question

two triangles have the same area if their bases are in the ratio 4.5 , the ratio of their height will be
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Answer 1

Answer:

To prove: Ratio of the areas of two triangles of the same height is equal to the ratio of their bases.

Proof:

Let us take triangle T

1

with height h

1

and base b

1

and Triangle T

2

with height h

2

and base b

2

.

Area of Triangle T

1

=

2

1

× base×height

=

2

1

×b

1

×h

1

Area of Triangle T

2

=

2

1

× base×height

=

2

1

×b

2

×h

2

Ratio of area of two triangles,

Area of triangle T

2

Area of triangle T

1

=

2

1

×b

2

×h

2

2

1

×b

1

×h

1

=

b

2

b

1

(Height of two triangles are equal So,h

1

=h

2

)

Hence, proved.