Question

The area of two similar triangles are $200$ and $128$, then the ratio of their corresponding altitude is __________

• A. $25:16$
• B. $5:4$
• C. $4:5$
• D. $16:25$

Answer 1

The correct option is B $5:4$

Since we know that ratio of areas of two similar triangles is equal to the square of the ratio of their altitude
therefore
Ratio of their altitude $=\sqrt{\frac{200}{128}}$

$=\sqrt{\frac{100}{64}}$

$=\frac{10}{8}$

$=\frac{5}{4}$
$=5:4$