Math, asked by ana03nya, 1 year ago

please solve this math problem

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Answers

Answered by supritinayak7pbae9m
0
Let the base of the triangle be x
And ratio of altitudes of two similar triangle is 2:3
So let the area of 1st triangle = 2x
Area of 2nd triangle = 3x
Ratio of area of two triangles
2x/3x = 2:3
Thus the ratio of their areas is 2:3.
Answered by Salmonpanna2022
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.

Solution:

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.

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