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A triangle has sides with lengths of 1, 4, and 2. What is the radius of the triangles inscribed circle?

Answer 1

Sophia Alfred

With the sides 1, 4,and 2, the triangle does not exist.

Let a=1 and b=4 and c=2

For any triangle #a+b>c" " "#True #a+c>b" " "#False #b+c>a" " "#True

The second condition is False. Therefore, the triangle does not exist with the given sides.

God bless.... I hope the explanation is useful.

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Answer 2

Sadie Allen

The radius of the triangle's inscribed circle is ( \frac{1}{2} ) units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.