Question

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Answer 1

C)

Explanation:

in order to understand which triangle would lie on the given line we should figure out the slope of the given line first

remember that,

`\displaystyle m = ( y_(2) - y_(1) )/( x_(2) - x_(1))`

from the graph let's take two points where the line passes i.e (0,0) and (4,6)

substitute:

`\displaystyle m = (6- 0)/( 4 - 0)`

simplify substraction:

`\displaystyle m = (6 )/( 4 )`

reduce fraction:

`\displaystyle m = (3)/( 2)`

now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle

`\displaystyle \tan( \theta) = (30)/(20)`

reduce fraction:

`\displaystyle \tan( \theta) = (3)/(2)`

since the tan ratio of the third triangle equal to the slope of the line

hence, our answer is c