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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

Sagot :

Baggy3813

Answer:

BRAINLIEST PLZZZZZ

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.

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