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23 June, 22:10

How do you find the inequality for a triangle when it only gives you two sides

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  1. 23 June, 22:23
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    Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides

    Solution:

    We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem

    The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

    This rule must be satisfied for all 3 conditions of the sides.

    Consider a triangle ABC,

    Let, AB, BC, AC be the length of sides of triangle, then we can say,

    Acoording to Triangle Inequality Theorem,

    sum of any 2 sides > third side

    BC + AB > AC

    AC + BC > AB

    AB + AC > BC

    For example,

    When two sides, AB = 7 cm and BC = 6 cm is given

    we have to find the third side AC = ?

    Then by theorem,

    Let AC be the third side

    AB + BC > AC

    7 + 6 > AC

    Thus the inequality is found when only two sides are given
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