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The line $5 x + 12 y = 60$ meets the axes at A and B. What is the inradius of triangle OAB, where O is the origin?

Competition practiceGeometry

A2 units
B6.5 units
C3 units
D2.5 units

Step-by-Step Solution

A

= (12, 0) and

B

= (0, 5), so

A B = 13

. For a right triangle

r = \frac{a + b - c}{2} = \frac{12 + 5 - 13}{2} = 2

units.

Answer: A) 2 units

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