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MATH / A triangle can be formed having side lengths 4, 5, and 8. It is impossible, however, to construct a triangle with side lengths 4, 5, and 10. Using the side lengths 2, 3, 5, 7, and …

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problem

A triangle can be formed having side lengths 4,4, 5,5, and 8.8. It is impossible, however, to construct a triangle with side lengths 4,4, 5,5, and 10.10. Using the side lengths 2,2, 3,3, 5,5, 7,7, and 11,11, how many different triangles with exactly two equal sides can be formed?
Plain-text mathematical notation (without MathML)
A triangle can be formed having side lengths 4, 5, and 8. It is impossible, however, to construct a triangle with side lengths 4, 5, and 10. Using the side lengths 2, 3, 5, 7, and 11, how many different triangles with exactly two equal sides can be formed?
Original LaTeX notation
A triangle can be formed having side lengths $4,$ $5,$ and $8.$ It is impossible, however, to construct a triangle with side lengths $4,$ $5,$ and $10.$ Using the side lengths $2,$ $3,$ $5,$ $7,$ and $11,$ how many different triangles with exactly two equal sides can be formed?

level

Level 5

type

Geometry

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