What is the length of the base?

16

Step-by-step explanation:

So let's imagine that the base of the triangle is x, and since the height is 13 less, the height will be x-13. So since the formula for area is base*height/2, plug x(x-13)/2=24, which is the area, and solve. You would get x^2-13x=48, and bring the 48 to the other side to get x^2-13x-48=0. Through the quadratic formula, you would get x=16 and x=-3. Since -3 cannot be valid for a triangle, 16 is the answer.

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hope this .. : d

-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