Incircle and excircle of right triangle
Level
pending
Suppose there's a right triangle at ABC,right angle at C.Let r be the inradius and excircle on side AB be r3,given that r * r3=180.what is the area of the triangle?
The answer is 180.
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1 solution
Incase of right triangle r=(r1 * r2)/r3 or r * r3=r1 * r2,for any triangle Area=sqrt(r * r1 * r2 *r3) or Area=sqrt{(r * r3)^2} or Area=r * r3 so Area=180