Is the sum of two rational numbers always rational
1 answer:
Answer:
in short, Yes they are always rational.
here's why...
E.g. suppose and
are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give
and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had
Step-by-step explanation:
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Answer:
No
Step-by-step explanation:
By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.
Thus, where where a and b are the legs and c is the hypotenuse.
Let a=6ft, b=21ft and c=23ft, then
which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.