A right Triangle ABC, circumscribes a circle of radius r, If AB and BC are of lenghts 8cm and 6cm respectively, find the value of r.

i have a doubt why ab+bc+ca is coming down in divison , if we put it up ad substitute it comes like 24/48 and answer totally changes as 0.5

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Please find this answer

r=2 cm

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student-name Mick Stanley asked in Math A right Triangle ABC, circumscribes a circle of radius r, If AB and BC are of lenghts 8cm and 6cm respectively, find the value of r. 4 Follow 0 student-name Akhila S answered this 40 helpful votes in Math, Class XII-Science Let ABC be the right angled triangle such that ∠B = 90° , BC = 6 cm, AB = 8 cm. Let O be the centre and rbe the radius of the incircle. AB, BC and CA are tangents to the circle at P, N and M. ∴ OP = ON = OM = r (radius of the circle) By Pythagoras theorem, CA2 = AB2 + BC2 ⇒ CA2 = 82 + 62 ⇒ CA2 = 100 ⇒ CA = 10 cm Area of ∆ABC = Area ∆OAB + Area ∆OBC + Area ∆OCA Thumbssss up!!!

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Let ABC be the right angled triangle such that ∠B = 90° , BC = 6 cm, AB = 8 cm. Let O be the centre and rbe the radius of the incircle. AB, BC and CA are tangents to the circle at P, N and M. ∴ OP = ON = OM = r (radius of the circle) By Pythagoras theorem, CA2 = AB2 + BC2 ⇒ CA2 = 82 + 62 ⇒ CA2 = 100

Hey guys!! There is a easier way to answer this question .... After you find the length of hypotenuse ... Use this formula... (a+b-c)/2 where c represnts hypotenuse and a,b represents other two sides For example, (8+6-10)/2=(14-10)/2=4/2=2 So therefore the answer i.e. the radius of 2cm

It will be the answer

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Right angle triangle ABC circumscribe a circle of radius R if a b and b c are of length 806 M find are