Question

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

Answer 1

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