How many diagonals does a convex polygon with 10 sides have?

Answer and explanation

Correct answer: C. 35

  1. Step 1: From each vertex there are diagonals, giving ends of diagonals. Step 2. Each diagonal has two ends, so the number is . Answer: 35. Why not the others: 70 counts every diagonal twice, 45 is , which also counts the 10 sides, and 7 is the number of diagonals from a single vertex.

Practise more Mathematics: Geometry and Measurement.

Free questions with an explanation for every one, and full timed FUVEST (University of São Paulo Entrance Exam) mock tests.