20. If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle
passing through the points A, B and C is
Answers
Answered by
1
Step-by-step explanation:
Given- A,B & C are points such that AB=12cm and BC=16cm and BC⊥AB.
To find out- the radius of the circle passing through A,B & C=?
Solution- BC⊥AB i.e ∠ABC=90
0
and ΔABC is a right one with AC as hypotenuse. ∴AC=
AB
2
+BC
2
=
12
2
+16
2
cm=20cm. So the circle passing through A,B & C will have its diameter as AC.
∴ Its radius=
2
1
×20cm=10cm.
Ans- Option C.
solution
Answered by
1
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