Is it possible to construct a triangle with sides of lengths 35 23 and 62?
Table of Contents
- 1 Is it possible to construct a triangle with sides of lengths 35 23 and 62?
- 2 Which of the following Cannot be the sides of a right triangle?
- 3 Which one Cannot be the lengths of the sides of a triangle?
- 4 When do the sides of a triangle do not satisfy the theorem?
- 5 What happens when the sum of 2 sides of a triangle?
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.
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
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!