Question

Geometry question! Help!

Answer 1

Answer:
`2√(2)`

Explanation:

The inradius is given by the area of the triangle divided by the semiperimeter.

The semiperimeter is
`(12+12+8)/(2)=16`.

Thus, by Heron's formula, the area is
`√(16(16-12)(16-12)(16-8))=32√(2)`.

Therefore, the radius is
`(32√(2))/(16)=2√(2)}`