16Hit1600
AlgebraVery hardTriangle cut off by a line and the axes

Algebra practice question

In the xy-plane, the line 3x − 4y = 24 and the two axes bound a triangle. What is the area of that triangle?

Answer: 24

The intercepts are (8, 0) and (0, −6). The triangle's legs are 8 and 6, so its area is (1/2)(8)(6) = 24.

Common wrong answers

If you answered 12
12 halves twice.
If you answered 48
48 is 8 × 6, without the half.
If you answered -24
Area is positive even though the y-intercept is negative.

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