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Question: If the length of the sides of a triangle are 3, 4 and 5 units, then R (the circum-radius) is...

If the length of the sides of a triangle are 3, 4 and 5 units, then R (the circum-radius) is

A

2.0 unit

B

2.5 unit

C

3.0 unit

D

3.5 unit

Answer

2.5 unit

Explanation

Solution

Given, Sides are 3, 4, 5.

Since 32+42=523 ^ { 2 } + 4 ^ { 2 } = 5 ^ { 2 }. So, triangle is a right angle triangle.

R=52=2.5R = \frac { 5 } { 2 } = 2.5 unit .