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donnafranks2003
27.08.2019 •
Mathematics
Which set of numbers could represent the lengths of the sides of a right triangle?
6, 9, 11
9, 12, 16
10, 15, 20
7, 24, 25
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Ответ:
Ответ:
a^2 + b^2 = c^2
where c is hypotenuse (side opposite to right angle) and also the longest of three sides.
For every set take largest number and threat it as c, then other two numbers threat as a and b (order doesn't matter because of commutative property of addition) and just test equality
First example:
a = 9
b = 6
c = 11
6^2 + 9^2 = 11^2
36 + 81 = 121
117 = 121
Not true, so 6, 9, 11 can't represent right triangle, analogously second and third set.
Fourth:
a = 7
b = 24
c = 25
7^2 + 24^2 = 625
49 + 576 = 625
625= 625 True, number can represent right triangle sides!
Ответ:
8 3 / 10 = 83 / 10;
But, 31 / 5 = 62 / 10 ;
62 / 10 - ( - 83 / 10 ) = 62 / 10 + 83 / 10 = 145 / 10 = 29 / 2 .