1. The base and height of a right angled triangle is 12 cm and 5 cm respectively. Find the circum-radius (in cm) of the triangle.
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By: anil on 05 May 2019 02.04 am
Length of base and height of triangle = 12 and 5 cm => Let length of hypotenuse = $$x$$ cm => $$(x)^2=(12)^2+(5)^2$$ => $$(x)^2=144+25=169$$ => $$x=sqrt{169}=13$$ cm Also, the circumcentre of a right angled triangle lies on its hypotenuse, thus circumradius = $$frac{1}{2} imes$$ (hypotenuse) = $$frac{1}{2} imes13=6.5$$ cm => Ans - (C)
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