In △ABC, ∠ABC = 90°, AB = 6 cm, BC = 8 cm. Find the circum-radius of triangle ABC.
WBBSE
Class X
Mathematics
Pythagoras Theorem
02 Mark
2024
For a right-angled triangle,
Circum-radius (R) = (hypotenuse) / 2.
Find hypotenuse AC using Pythagoras:
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
⇒ AC² = 100
⇒ AC = 10 cm
So, R = AC / 2 = 10 / 2 = 5 cm.
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