Question

Q.2) 1. Ratio of areas of two triangles with equal heights is 3:2. If base of bigger triangle is 18, then what is the corresponding base of smaller triangle ? plz help me​

Answer 1

Answer:

Let the areas be 2x and 3x.

So, 2x=1/2×base×height.

height same in both case so let be h

So, 2x=1/2×6×h

Therefore x=3h/2

3x=1/2×b×h

Putting value of x,

3×3h/2=bh/2

h/2 gets cancelled,

3×3=b

=>b=9

therefore based of bigger triangle is 9 cm