Practicing Success
The lengths of the two sides forming the right angle of a right-angled triangle are 21 cm and 20 cm. What is the radius of the circle circumscribing the triangle? |
14.5 cm 14 cm 12 cm 15.5 cm |
14.5 cm |
We know that, Hypotenuse2 = Base2 + Perpendicular2 Circum-radius of the right-angled triangle = Hypotenuse/2 We have, Base = 21 cm Perpendicular = 20 cm According to the question, = (Hypotenuse)2 = 212 + 202 = 441 + 400 = 841 = (Hypotenuse) = √841 = 29 Circum-radius of the right-angled triangle = 29/2 = 14.5 cm |