Hi! Please help!! What numbers can not be represent the three sides of a right triangle?

57,76,95

18,80,82

9,24,26

15,36,39

9514 1404 393

  (c)  9, 24, 26

Step-by-step explanation:

If you're familiar with Pythagorean triples, you may recognize that 10-24-26 is a doubling of the common 5-12-13 triple seen in many problems. That means the triple 9-24-26 cannot be a right triangle.

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The "form factor" of f = a^2 +b^2 -c^2, where c is the longest side length, can signal the kind of triangle it is. f=0 indicates a right triangle (values satisfy the Pythagorean theorem). When there are a lot of numbers to try, I like to let a calculator or spreadsheet do the math. (See attached).

As indicated above, the 9-24-26 triple cannot be a right triangle. For f < 0, it will be an obtuse triangle.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

attachment?

step-by-step explanation: