Aziza has a triangle with two sides measuring 11 in. and 15 in. she claims that the third side can be any length as long as it is greater than 4 in. which statement about aziza’s claim is correct? aziza’s claim is not accurate. the third side must be between 4 in. and 26 in. aziza’s claim is not accurate. the third side can be any length less than 26 in. aziza’s claim is not accurate. the third side can be any length. aziza’s claim is not accurate. the third side must create a scalene triangle.

A

Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.

Step-by-step explanation:

A on Edge-2020

Aziza’s claim is incomplete. The third side must be between 4 in. and 26 in.

Step-by-step explanation:

With the Triangle Inequality Theorem, saying that the sum of lengths of any two sides of a triangle is greater than the length of the third side. With this we can develop two inequalities:

11 + 15 > x

26 > x

rewrite this as x

11 + x > 15

x > 15 - 11   Subtract 11 from both sides

x > 4

Therefore, the third side can be anywhere greater than 4 inches and less than and less than 26 inches.

4

Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.

Step-by-step explanation:

D

Step-by-step explanation: I am taking the test right now :l

The third side can be any length as long as it is greater than 4 in and less than 26 in

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that The sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x > the length of the third side

Applying the triangle inequality theorem

1) 11+15 > x

26 > x

rewrite

x

2) 11+x > 15

x> 15-11

x > 4 in

therefore

Aziza's claim is incomplete

The third side can be any length as long as it is greater than 4 in and less than 26 in

The third side must create a scalene triangle.

The length of the third side is between 4 in to 26 in

Explanation:

Given:

Side of triangle:

AB = 11 in

BC = 15 in

Considering the triangle to be a right angle triangle where 1 angle is 90°

Using pythagoras theorm

(AC)² = (AB)² + (BC)²

(AC)² = (11)² + (15)²

AC = 18.6 in

All the three sides of the triangle are different. So, the triangle is a scalene triangle.

The length of the third side is between 4 in to 26 in

The length of the third side cannot be of any length less than 26 in

We determine the third side of a triangle if we are given certain measurements or parameters like two sides and an angle, two angles and one side or two sides and the type of triangle. For this case, we are only given the measurement of the two sides of the triangle. In order to solve the third side, we assume that the triangle is a right triangle where one angle is a right angle. From this assumption, we use the Pythagorean Theorem:
 c^2 = a^2 + b^2 where c is the hypotenuse, a and b are the remaining sides of the triangle

From this assumption, we can already calculate the third side by either assuming that 15 in. is the hypotenuse or to assume the two to be the shorter sides of the triangle. By assuming 15 in. to be the hypotenuse, we obtain a measurement of the third side a value of 10.20 in. while assuming the latter we obtain a value of 18.60 in. From the claim of Aziza, she is correct when she said that the third side is greater than 4 in. however she is wrong in claiming that the third side can have any length since a triangle has always its corresponding parameters depending on what type it is or the measurements being given in the problem. For this case, the third side can be 18.60 in. or 10.20 in.