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The side length ratios of an isosceles right triangle are 1-1-
. So, the length of a leg would be equal to the length of the hypotenuse divided by the square root of 2.
Using pythagorean theorem (c is the hypotenuse, a and b are the legs)
c²=a²+b²
If the triangle is isosceles, two side lengths must be equal. In the case of a right triangle, the legs must be equal in length. So, b=a.
c²=a²+a²
c²=2a²
a²=c²/2
a=c/
a≈c/1.414
Using pythagorean theorem (c is the hypotenuse, a and b are the legs)
c²=a²+b²
If the triangle is isosceles, two side lengths must be equal. In the case of a right triangle, the legs must be equal in length. So, b=a.
c²=a²+a²
c²=2a²
a²=c²/2
a=c/
a≈c/1.414
A function must associate only one output to each input. So, you must rule out all the ordered pairs that associate two outputs to the same input.
In the first answer we have both and
. So, this is not a function because there is ambiguity defining
. Should it be
or
?
In the second answer we have both and
. So, this is not a function because there is ambiguity defining
. Should it be
or
?
The third answer is a function because all input-output associations are unique: we have
In the fourth answer we have both and
. So, this is not a function because there is ambiguity defining
. Should it be
or
?