Question

the ratio of the areas of two ∆ with equal height is 4 : 3 the base of the larger ∆ is 20 cm find the base of the smaller ∆​

Answer 1

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.