The ratio of corresponding sides of similar triangles is 4 : 9 . If the longest side of the smaller triangle is 36 mm, what is the longest side of the larger triangle?

Question

The ratio of corresponding sides of similar triangles is 4 : 9 . If the longest side of the smaller triangle is 36  mm, what is the longest side of the larger triangle?

parthkohli · Answer

$\Large \color{purple}{\rightarrow 4:9::36:x }$

$\Large \color{purple}{\rightarrow 4x = 324 }$

$\Large \color{purple}{\rightarrow x = 81 }$

81 mm is the longest side of the larger triangle.

anonymous · Answer

Let the proportionality constant be x.
Here, 4x = 36.
x = 9
Can you find 9x?

anonymous · Answer

That's right its 81.

parthkohli · Answer

81 mm can be said as 8.1 cm according to your wish :P