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Radius of the inscribed circle inside a right triangle, when the lengths of the three sides are known

ÀÛ¼ºÀÚ Uploader : rainbow ÀÛ¼ºÀÏ Upload Date: 2018-12-12º¯°æÀÏ Update Date: 2018-12-13Á¶È¸¼ö View : 434

As shown in the figure, the radius of the inscribed circle of a right triangle whose sides are a, b, and c in length, respectively, can be calculated as follows.

Letting a - r = x and b - r = y, then,

r + x = a, r + y = b, x + y = c


Summing all three equations, r is as follows.

2*( r + x + y ) = ( a + b + c )

r + c = ( a + b + c ) / 2

r = ( a + b - c ) / 2

*** Âü°í¹®Çå[References] ***

r = ( a + b - c ) / 2
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