The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches. find the shortest side

BRAINLIEST PL

Step-by-step explanation:

The shortest side of the triangle is 3 inches.

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

The perimeter = 13.5 inches.

Now, to find the shortest side.

Let the one side be  = 1/6x

And the second side be  = 1/3x

And the third side be = 1/4x

According to question:

1/6x + 1/3x + 1/4x = 13.5

x/6 = x/3 = x/4 = 13.5

Adding all the variables by taking common denominator we get:

⇒  9x/12 = 13.5

Multiplying both sides by 12 we get:

⇒  9x = 162

Dividing both sides by 9 we get:

⇒ x = 18

Thus, the sides of the triangle are:

1/6×18=3 inches.

1/3×18=6 inches.

1/4×18=9/2=4.5 inches.

Therefore, the shortest side of the triangle is 3 inches.

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: