aurieyellej
Answered

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Is it possible to form a triangle with side lengths 3.5 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? Or none

Sagot :

paarya184

Answer:

It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.

Step-by-step explanation:

Scalene Triangle - All 3 sides have different lengths.

Isosceles Triangle - 2 sides have equal lengths.

Equilateral Triangle - All 3 sides have equal lengths.

You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.

I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!

View image paarya184
akposevictor

The given side lengths, 3.5 3.5, and 9, cannot form a triangle.

The Triangle Inequality Theorem

  • The triangle inequality theorem states that for any triangle, the sum of any two of its side must be greater than the length of the third side.

Given the side lengths, 3.5 3.5, and 9:

3.5 + 3.5 (7) is not greater than 9

Thus, we can conclude that the given side lengths, 3.5 3.5, and 9, cannot form a triangle.

Learn more about triangle inequality theorem on:

https://brainly.com/question/2403556

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