Question

If the ratio of the corresponding altitudes of two similar triangles is 3:2 then

find the ratio of their areas​

Answer 1

Answer:

• Ratio of their Area = 9:4

Step-by-step explanation:

Given:

• Ratio of corresponding altitudes of two similar triangles = 3:2.

To Find:

• Ratio of their areas.

Now, we know about Theorem of area of similar triangles

>> Theorem of area of similar triangle states that the ratio of area of two similar triangle is equal to square of ratio of their corresponding altitudes.

Now, according to Theorem,

=> Ratio of Area = (Ratio of their corresponding altitudes)²

=> Ratio of their Area = (3/2)²

=> Ratio of their Area = 9/4

Hence, Ratio of their Area = 9:4.

Answer 2

QUESTION :

If the ratio of the corresponding altitudes of two similar triangles is 3:2 then

find the ratio of their areas.

SOLUTION :

According to theorem of area of similar Triangles,

A1/A2 = { H1/H2}^2 = (3/2)^2 = 9/4