Enter what you know below

Right Triangle
<-- Angle A
<-- Side a
<-- Angle B
<-- Side b
<-- Side C
  

Right Triangle Formula

a2 + b2 = c2

Rearrange this equation

a2 = c2 - b2

Take the square root of both sides

a = √c2 - b2
a = √202 - 162
a = √400 - 256
a = √144
a = 12

Calculate Angle A:

sin(A)  =  OPPOSITE
  HYPOTENUSE

sin(A)  =  a
  c

sin(A)  =  12
  20

Sin(A) = 0.6
Angle A = 36.8699°

Calculate Angle B:

sin(B)  =  OPPOSITE
  HYPOTENUSE

sin(B)  =  b
  c

sin(B)  =  16
  20

Sin(B) = 0.8
Angle B = 53.1301°

Calculate inradius:

inradius  =  ab
  a + b + c

inradius  =  (12)(16)
  12 + 16 + 20

inradius  =  192
  48

inradius = 4