The length of two altitudes are 12cm ,15cm, find the sum of all possible integer value of third altitude?
options are: a).1549
b).1649
c).1749
d).1849
Answers
the sum of all possible integer value of third altitude = 1749
Step-by-step explanation:
The length of two altitudes are 12cm ,15cm
third altitude would lie in between
= 1/ (1/12 + 1/15 ) & 1/(1/12 - 1/15)
= 60/(5 + 4) & 60/(5 - 4)
= 60/9 & 60
= 20/3 & 60
= 6.67 & 60
Hence all possible integer values of third altitude are from
7 , 8 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,. 59
Sum = (53/2)(7 + 59) = 1749
the sum of all possible integer value of third altitude = 1749
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