Question:
The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the incircle of the triangle is
The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the incircle of the triangle is
Updated On: Dec 2, 2024
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Correct Answer: 2
Solution and Explanation
The given triangle is a right-angled triangle with sides 6, 8, and 10 units. The inradius (r) of a right-angled triangle can be calculated using the formula:
\(r = \frac{a + b - c}{2}\)
where a, b, and c are the sides of the triangle.
In this case, a = 6, b = 8, and c = 10.
So, \(r = \frac{6 + 8 - 10}{2} = 2\)
Therefore, the radius of the incircle is 2 units.
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