    Question

# Find the length of circumradius of a right-angled triangle whose adjacent sides are 3cm and 4cm?

A

2 cm

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B

2.5 cm

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C

3 cm

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D

3.5 cm

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Solution

## The correct option is B 2.5 cm As per the question we have to find out the length of circumradius of a right-angled triangle whose adjacent sides are 3cm and 4cm. Let BAC be a triangle where AB = 3 cm and AC = 4cm. We draw the perpendicular bisector of AB and BC as RS and PQ respectively. AR = 32=1.5 cm RO = 42=2 cm The length of the circumradius is equal to AO. By Pythagoras theorem AO2=AR2+RO2 On substituting the values we get: AO2=1.52+22 ⇒AO=√1.52+22 ⇒AO=2.5 cm Hence, the circumradius of the triangle is 2.5 cm.  Suggest Corrections  0      Similar questions  Related Videos   Introduction - concept
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