Question

Challenge!

In two triangles, the ratio of their areas is 4:3 and that of their heights is 3:4. Find the ratio of their baser ​

Answer 1

Step-by-step explanation:

let the two triangle have

bases b

1

,b

2

and heights h

1

,h

2

ratio of their areas =

2

1

×b

2

h

2

2

1

×b

1

h

1

=

b

2

h

2

b

1

h

1

But given ratio of areas =

3

4

and

h

2

h

1

=

4

3

b

2

h

2

b

1

h

1

=

3

4

⇒

b

2

b

1

×

4

3

=

3

4

⇒

b

2

b

1

=

9

16

Answer 2

Required ratio = 16 : 9.

HOPE YOU GOT YOUR ANS!!!