Question

A triangle has two sides of length 1 and 2. What is the largest possible whole-number length for the third side?

Answers

  1. The largest possible whole-number length for the third side of the triangle is 2 units.

    How to find the side of a triangle?

    A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.  The sum of angles in a triangle is 180 degrees.
    The triangle inequality theorem can be used to find the largest possible side whole number length for the third side of the triangle with side length 1 and 2 units.
    The triangle inequality theorem describes the relationship between the three sides of a triangle
    According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.
    If the sides of the triangle are a, b and c . It follows the rule below:
    b + c > a
    a + c > b
    a + b > c
    Let the unknown third side be x.
    Hence,
    1 + 2 > x
    x + 2 > 1
    x + 1 > 2
    Therefore, the largest is 2 units.
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