Question

The ratio of the areas of two triangles with equal heights is 3:2 the base of the larger triangle 24cm. Find the corresponding base of the smaller triangle.​

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

Step-by-step explanation:

Ratio of areas of two triangles = 3 : 2

let areas be 3x and 2x

Now,

area of a triangle = 1/2 × Base × height

then 1/2 × 24 × h = 3x

1/2 × b × h = 2x

hence 24 / b = 3 /2 ( they given both have same Base )

b = 16

Base = 16