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If AB=10 and AC =6 and altitude AE=4 .IF AD is the diameter of circum circle, then what is the length of circum radius? 
 

Asked by amitjena226 30th November 2017, 8:18 PM
Answered by Expert
Answer:
begin mathsize 16px style AB equals 10 comma space AC equals 6 space and space AE equals 4 space
Using space Pythagoras space find space base
find space base space you space will space get space square root of 84 plus square root of 20
and space area space of space triangle space equals space 1 half cross times open parentheses square root of 84 plus square root of 20 close parentheses cross times 4
and space use space formula space
fraction numerator abc over denominator 4 straight R end fraction equals Area space of space the space triangle
fraction numerator 10 cross times 6 open parentheses square root of 84 plus square root of 20 close parentheses over denominator 4 straight R end fraction equals 1 half cross times open parentheses square root of 84 plus square root of 20 close parentheses cross times 4
where space straight R space is space the space radius space of space the space circumcircle. end style
Answered by Expert 1st December 2017, 5:30 PM
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