Two sides of an integer sided triangle have lengths 18 and x. If there are exactly 35 possible integ

Question

Two sides of an integer sided triangle have lengths 18 and x. If there are exactly 35 possible integer values y such that 18, x, y are the side of a non-degenerate triangle, find the number of possible integer values x can have.

Accepted Answer

{"content":[{"content":[{"text":"Step 1:","type":"text","marks":[{"type":"bold"}]},{"type":"text","text":" x + "},{"attrs":{"latex":"y"},"type":"math_inline"},{"text":" > 18","type":"text"}],"type":"paragraph"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 2:","type":"text"},{"text":" So, ","type":"text"},{"type":"math_inline","attrs":{"latex":"x"}},{"type":"text","text":" can take any integer value greater than or equal to 18."}],"type":"paragraph"},{"content":[{"text":"Step 3:","type":"text","marks":[{"type":"bold"}]},{"type":"text","text":" So, answer should be infinite."}],"type":"paragraph"}],"type":"doc"}

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