Question

The length of perpendicular side of the right angle triangle is 7 cm and 24 cm respectively then find radius of circumcircle.​

Answer 1

Radius of Circumcircle =  12.5 cm

Step-by-step explanation:

The length of perpendicular side of the right angle triangle is 7 cm and 24 cm

Hypotenuse = √7² + 24²

=> Hypotenuse = √49 + 476

=> Hypotenuse = √525

=> Hypotenuse = 25 cm

The circumcenter of a right triangle lies exactly at the midpoint of the hypotenuse.

Hence Hypotenuse is Diameter of Circumcircle

=> Diameter of Circumcircle = 25 cm

Radius = Diameter/2

=> Radius of Circumcircle = 25/2 = 12.5 cm

Radius of Circumcircle =  12.5 cm

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