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2 years ago

Is there a triangle that one side of length 4 inches , one side of length 2 inches and one side of length 1 in? Explain

Mathematics

1 answer:

rewona [7]2 years ago

3 0

According to the Triangle inequality theorem, this does not work

For a triangle to be valid, the length of any two sides added together must by greater than the length than the third side.

In this example, we can see that the side with length 1 added to the side with length 2 is equal to 3inches.

3 inches is less that 4inches (the length of the 3rd side). So that triangle does not work.

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Answer

This triangle does not work, because the sum of the lengths of any two sides of a triangle is <u>NOT</u> greater than the length of the third side.

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The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

$-7x+3y=-21.5$

Convert it to the general form given below:

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$\rm m' = -\frac{3}{7}$

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$\rm (y-y')=m'(x-x')$

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Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5

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