Question

Ratio of areas two triangles with equal heights is 4:6. If the base of the smaller triangle is 12cm,then what is the corresponding base of the bigger triangle ?​

Answer 1

Answer:

ANSWER

The ratio of the areas of two triangle with common base =4:3

Height of the larger triangle (h

1

)=20 cm

Height of the smaller triangle (h

2

)=?

Area of smaller triangle

Area of larger triangle

=

h

2

h

1

....[∵ triangles have common base]

⇒

3

4

=

h

2

20

⇒h

2

=

4

3×20

=15 cm

∴ height of smaller triangle is 15 cm.