A triangle has vertices at A(0,0), B(6,0), and C(0,8). A circle is inscribed in this triangle. What is the radius of the inscribed circle?

2 The triangle has legs 6 and 8, hypotenuse 10 (3-4-5 scaled). Area = \\frac{1}{2}(6)(8) = 24. Semi-perimeter s = (6+8+10)/2 = 12. Inradius r = \\frac{\\text{Area}}{s} = \\frac{24}{12} = 2.

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Acemy

Lines, Angles, and Triangles

SAT Math· difficulty 5/5

A(0,0)

A
$\frac{24}{14}$
B
$2$
check_circle
C
$\sqrt{6}$
D
$3$

Explanation

= \\frac{1}{2}(6)(8) = 24

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