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Feliz [49]
1 year ago
10

Geometry question! Help!

Mathematics
1 answer:
Karolina [17]1 year ago
8 0

Answer: 2\sqrt{2}

Step-by-step explanation:

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

The semiperimeter is \frac{12+12+8}{2}=16.

Thus, by Heron's formula, the area is \sqrt{16(16-12)(16-12)(16-8)}=32\sqrt{2}.

Therefore, the radius is \frac{32\sqrt{2}}{16}=2\sqrt{2}}

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