RT - inscribed circle

In a rectangular triangle has sides lengths> a = 30cm, b = 12.5cm. The right angle is at the vertex C. Calculate the radius of the inscribed circle.

Correct answer:

r =  5 cm

Step-by-step explanation:

a=30 cm b=12.5 cm  c=a2+b2=302+12.52=652=32.5 cm  S=a b2=30 12.52=3752=187.5 cm2 s=(a+b+c)/2=(30+12.5+32.5)/2=752=37.5 cm  r=S/s=187.5/37.5=5 cm

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