If the shorter leg of a 30-60-90 triangle has length 8/sqrt(3), then the longer leg has length . 8

10

12

Step-by-step explanation:

Given

30-60-90 triangle

Required

The longer leg

The following relationship exists in a 30-60-90 triangle.

This gives:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c