A triangle of consecutive integers
The three side lengths of a triangle and one of its heights (altitudes) are four consecutive whole numbers, in some order. What is the area of the triangle?
Show hints (2)+
- An altitude is shorter than the two sides it isn't perpendicular to - so it's likely the smallest of the four numbers.
- Test the famous -- triangle: its altitude to the side is . Compute its area with Heron.
Answer
Reveal answer →Final answer
84
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