Question

त्रिभुज ABC ~ त्रिभुज POR, यदि ar (ABC) = 2.25 मी,
ar (PQR) = 6.25 मी, PQ = 0.5 मी, तो AB की लम्बाई​

Answer 1

Step-by-step explanation:

we know that, the ratio of area of two similar triangles is equal to the ratio of square of its corresponding sides.

hence,

$\frac{ar(abc)}{ar(pqr)} = {(\frac{ab}{pq})}^{2} \\ \frac{2.25}{6.25} = ( { \frac{ab}{0.5}) }^{2} \\ \sqrt{ \frac{2.25}{6.25} } = \frac{ab}{0.5} \\ \frac{1.5}{2.5} = \frac{ab}{0.5} \\ \frac{15 \times 0.5}{25} = ab \\ \frac{75}{25 \times 10} = ab \\ \frac{3}{10} = ab \\ 0.3m = ab$