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

Answer 1

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.