Question

the area of two similar triangles are 121 and 64 if median of first triangle is 12.1 find median of other triangle

Answer 1

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Answer 2

Answer:

The length of median of other triangle is 8.8 units.  

Step-by-step explanation:

Given the area of two similar triangles are 121 and 64 square units. Also the median of first triangle is 12.1

we have to find the length of median of other triangle.

$\text{let }m_1\text{ and }m_2\text{ are the median of two triangles }$

By theorem the ratio of areas of two similar triangles is equals to square of the ratio of their corresponding medians i.e

$\frac{ar(\text{first triangle })}{ar(\text{ second triangle})}=(\frac{m_1}{m_2})^2$

$\frac{121}{64}=(\frac{12.1}{m_2})^2$

${m_2}^2=\frac{12.1^2\times 64}{121}=\frac{121\times 64}{100}$

$m_2=\frac{88}{10}=8.8$

The length of median of other triangle is 8.8 units.