the ratio of areas of two similar triangles is 1 : 2 then ratio of their corresponding altitudes
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Step-by-step explanation:
the answer of this question is 1/2
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Answer:
The ratio of their corresponding altitudes = 1:√2
Step-by-step explanation:
Given,
The ratio of the areas of two similar triangles 1:2
To find,
The ratio of the altitudes of the triangles
Recall the concepts
For any two similar triangles
The ratio of their areas = ratio of squares of their altitudes
Solution:
Since the ratio of the areas of the similar triangles = 1:2
Then we have, the ratio of squares of the corresponding altitudes of the triangles = 1:2
∴The ratio of their corresponding altitudes = 1:√2
#SPJ3
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