do these problems and get 100 points 1. 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. c 22 and 15 2 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. d 13.2 and 6.7 3 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. e 34 and 12 4 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. f 23 and 44

-- Triangle 1

-- Triangle 2

-- Triangle 3

-- Triangle 4

Step-by-Step Explanation:

Given

2 sides of a triangle

1. 22 and 15

2. 13.2 and 6.7

3. 34 and 12

4. 23 and 44

Required

Determine the range of the third side in the above triangles

Represent the third side with x

We'll make use of the following conditions to calculate  the range of the third side;

Solving

Make x the subject of formula

Solving

Solving

Make x the subject of formula

The next step is to dismiss the inequality with negative digit; So, we're left with

and

Rewrite both inequalities

and

Combine the two inequalities

Represent the third side with x

We'll make use of the following conditions to calculate  the range of the third side;

Solving

Make x the subject of formula

Solving

Solving

Make x the subject of formula

The next step is to dismiss the inequality with negative digit; So, we're left with

and

Rewrite both inequalities

and

Combine the two inequalities

Represent the third side with x

We'll make use of the following conditions to calculate  the range of the third side;

Solving

Make x the subject of formula

Solving

Solving

Make x the subject of formula

The next step is to dismiss the inequality with negative digit; So, we're left with

and

Rewrite both inequalities

and

Combine the two inequalities

Represent the third side with x

We'll make use of the following conditions to calculate  the range of the third side;

Solving

Make x the subject of formula

Solving

Solving

Make x the subject of formula

The next step is to dismiss the inequality with negative digit; So, we're left with

and

Rewrite both inequalities

and

Combine the two inequalities

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap