If AB = 5 cm, BC = 12 cm and AB is perpendicular to BC, then fi nd the radius of the circle passing throughthe points A, B and C.
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Answer:
Radius: 6.5 cm
Step-by-step explanation:
AB = 5 cm
BC = 12 cm
AB is perpendicular to BC
Now we can use the Pythagoras Theorem to find the hypotenuse, which would be the diameter of the circle.
A² + B² = C²
AB² + BC² = AC²
5² + 12² = AC²
25 + 144 = AC²
169 = AC²
√169 = AC
13 = AC
AC = 13 cm
Radius = hypotenuse/2
r = 13cm/2
Radius: 6.5 cm
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