Mixed

Is it possible to construct a triangle with sides of lengths 35 23 and 62?

Is it possible to construct a triangle with sides of lengths 35 23 and 62?

, you can form a triangle with side lengths . ANSWER: Yes; Find the range for the measure of the third side of a triangle given the measures of two sides.

Which of the following Cannot be the sides of a right triangle?

9 cm, 5 cm, 7cm cannot form the sides of a right triangle as the Pythagoras theorem is not satisfied in this case. The lengths of three segments are given for constructing a triangle. In the case of right-angled triangles, identify the right angles.

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Which one Cannot be the lengths of the sides of a triangle?

Correct answer: Explanation: Given the Triangle Inequality, the sum of any two sides of a triangle must be greater than the third side. Therefore, these lengths cannot represent a triangle.

How many possible lengths for the 3rd side of the triangle?

From triangle inequality, we know: 7 < x < 23. The question now becomes: Find the number of positive integers that satisfies 7 < x < 23. We can count the answer, which is 15. Therefore there are 15 possible lengths for the 3rd side, if it is a +ve int.

How do you know if two sides do not make a triangle?

In other words, as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle.

When do the sides of a triangle do not satisfy the theorem?

As soon as the sum of any 2 sides is less than the third side then the triangle’s sides do not satisfy the theorem. Use the shortcut and check if the sum of the 2 smaller sides is greater than the largest side. Side 1: 1.2 Side 2: 3.1

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What happens when the sum of 2 sides of a triangle?

The interactive demonstration below shows that the sum of the lengths of any 2 sides of a triangle must exceed the length of the third side. The demonstration also illustrates what happens when the sum of 1 pair of sides equals the length of the third side–you end up with a straight line!