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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 correct. The third side must be between 4 in. And 26 in. Aziza's claim is not correct. The third side can be any length less than 26 in. Aziza's claim is not correct. The third side can be any length. Aziza's claim is not correct. The third side must create a scalene triangle.

2 Answers

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Answer:D

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

User Laporsha
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The third side must create a scalene triangle.

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

Step-by-step 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

User Cleo
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4.3k points