Question
Download Solution PDFIf the ratio of corresponding sides of two similar triangles\(\sqrt{5} : \sqrt{7}\) is then what is the ratio of the area of the two triangles?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of corresponding sides of two similar triangles\(\sqrt{5} : \sqrt{7}\).
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 sides.
Calculation:
According to the concept,
Now, the ratio of the area of the two triangles
⇒ \(({\sqrt5})^2:({\sqrt7})^2\)
⇒ 5 : 7
∴ The ratio of the area of the two triangles is 5 : 7.
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