Consider the Pythagorean Theorem and its converse. Which statements are correct? A)
6,8, and 10 are possible side lengths for a right triangle
B)
10, 15, and 20 are possible side lengths for a right triangle.
C)
The Pythagorean Theorem works only for sides of a right triangle
D)
If the sides of a right triangle are of length 8 and 15. its hypotenuse is 17
E)
The Converse of the Pythagorean Theorem allows us to calculate side
lengths of right triangles.

yes

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step-by-step explanation:

answer: i think it's a

step-by-step explanation:

-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