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?
Answer & explanation
Correct answer: option 1
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