Question

Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44

Answer 1

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Explanation:

we will use the concept of triangle

1. sum of two sides of triangles is always greater than the third side

2. difference of trow sides of triangle is always less than the third side.

Given two sides

23 and 44

let the third side b x

using first concept

sum of to sides = 23+44 = 67

thus,

x <67

using second concept

Difference of to sides = 44 - 23 = 21

thus,

x > 21

Combining

x <67 and x > 21

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.