Question

write the statement of property of the ratio of areas of two triangle with equal height ​

Answer 1

Answer:

If two triangles have equal bases, then ratio of their areas is the ratio of their height. If two triangles are similar, then ratio of their areas is the square of the scale factor.

Answer 2

Answer:

hope it helps u

Step-by-step explanation:

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.