Perpendicular 70824

One perpendicular to the right triangle ABC has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular.

Correct answer:

c =  26.5 cm
b =  22.5 cm

Step-by-step explanation:

a=14 cm r=5 cm b=a2 r2 r (ar)=142 52 5 (145)=245=22.5 cm  c=a2+b2=142+22.52=253 cm=26.5 cm
 Verifying Solution:  s=(a+b+c)/2=(14+22.5+26.5)/2=263=31.5 cm S=a b/2=14 22.5/2=2315=157.5 cm2 r2=S/s=157.5/31.5=5 cm b=22.5 cm=245 cm=22.5 cm

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