please solve this math problem
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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.
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.
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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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