# A triangle has corners at #(1 , 2 )#, #(5 ,2 )#, and #(3 ,5 )#. What is the radius of the triangle's inscribed circle?

Radius of the triangle's inscribed circle is

[Ans]

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To find the radius of the triangle's inscribed circle, we can use the formula:

[ r = \frac{2 \times \text{Area of the Triangle}}{\text{Perimeter of the Triangle}} ]

We first need to find the area and perimeter of the triangle. The perimeter can be found by summing the lengths of the three sides, and the area can be calculated using Heron's formula, given the lengths of the sides.

After finding the area and perimeter, we can substitute these values into the formula to find the radius of the inscribed circle.

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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.

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.

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.

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