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I need help with number 10 please and also what do you notice

I need help with number 10 please and also what do you notice-example-1

1 Answer

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When constructing a triangle, it is important to remember that the "Triangle Inequality Theorem" holds. It states that the sum of the two sides of a triangle is always greater than the third side.

For #10, the two smaller sides are only 2 and 3 cm and their sum is only 5 cm. So it violates the Triangle Inequality Theorem.

In short, the triangle cannot be formed.

If you try to construct the triangle with the dimensions given in #10, you will basically form a line segment that is 5cm long.

For #10, you may write: "No triangle is formed, but the line segments overlap into one 5-cm line segment."

User Akshaya Pandey
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