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Question
What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?
What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?
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Solution
The correct option is B 12.5
It’s important that we note that it is a Pythagoras triplet
72 = 25+24 (using sum of squares technique taught in class )
Now,
In a right-angled triangle, the median to the hypotenuse is half the hypotenuse and is also the circum radius of the triangle.
As the hypotenuse is 25, the circum radius is 12.5.. Option b
It’s important that we note that it is a Pythagoras triplet
72 = 25+24 (using sum of squares technique taught in class )
Now,
In a right-angled triangle, the median to the hypotenuse is half the hypotenuse and is also the circum radius of the triangle.
As the hypotenuse is 25, the circum radius is 12.5.. Option b
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