Question

The ratios of the areas of the two triangles A1: A2 = 3:2, the corresponding bases b1 and b2 the heights of the triangles are equal, if b2= 12cm find b1.
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Answer 1

Answer:

B1=18 cm

Step-by-step explanation:

Let the height of each triangle be h (since they are equal)

Area = (1/2)×base×height

Since,

A1/A2 = (1/2)×b1×h / (1/2)×b2×h

From RHS, 1/2 and h got cancelled.

so, we get,

A1/A2 = b1/b2

Putting values,

3/2 = b1/12

By solving, we get,

b1 = 18 cm