What is the length of the base?
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Answer:
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.