Question
Download Solution PDFThe area of two similar triangles are 324 cm2 and 289 cm2, respectively. What is the ratio of their corresponding altitudes?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The area of two similar triangles is 324 cm2 and 289 cm2, respectively.
Concept used:
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding heights.
Calculation:
Let the corresponding height of △ ABC = H1
and the corresponding height of △ DEF = H2
⇒
⇒ (H1)2/(H2)2 = 324/289
⇒ H1/H2 = √324/√289
⇒ H1/H2 = 18/17
∴ The correct answer is 18/17.
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