Which lengths could be the sides of a triangle

The lengths of two sides of a triangle are 15 ft and 27 ft. Find the possible lengths. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6. Find the longest and shortest possible lengths of the third side of the. Which set of numbers can represent the side lengths, in centimeters, of a right triangle?

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 cm and a second side that is 2 cm less than twice the third side, what are the possible lengths for. Find all integral possibilities for the lengths of the side in meters.

Hint: the sum of the lengths of any two sides of a triangle must exceed the third side. Which set of side lengths shows similar triangles? Find the lengths of a triangle whose two sides lie on the coordinate axes and the other side passes through the point 1,1. This is greater than a, which is 9. Not Helpful 41 Helpful You can use one of the trigonometric functions arcsin, arccos, or arctan, depending on which angle you are trying to find and which sides you are using.

The short answer is no. The longer answer is that you get what's called a degenerate triangle, which in this case amounts to nothing more than a straight line 12 units long. All the formulas and theorems you know for working with triangles still work.

The law of cosines gives angles of 0, 0 and Area formulas all give 0. Not Helpful 42 Helpful Assuming that's all the information you know, you could designate any of the sides as the base, but you'd need to know at least one of the angles adjacent to the base in order to determine the height. Not Helpful 9 Helpful 5. Include your email address to get a message when this question is answered. By using this service, some information may be shared with YouTube. This is foolproof as long as you do the math right, and it is basic addition, so it is very simple.

Helpful 3 Not Helpful 0. Submit a Tip All tip submissions are carefully reviewed before being published. Related wikiHows How to. How to. Co-authors: Updated: August 18, Categories: Geometry. Article Summary X To determine if 3 side lengths are a triangle, use the triangle inequality theorem, which states that the sum of 2 sides of a triangle must be greater than the third side.

Nederlands: Bepalen of drie lengtes samen een driehoek vormen. Thanks to all authors for creating a page that has been read , times. Did this article help you? Cookies make wikiHow better. By continuing to use our site, you agree to our cookie policy.

About This Article. By signing up you are agreeing to receive emails according to our privacy policy. Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

This set of side lengths satisfies the Triangle Inequality Theorem. These lengths do form a triangle. Example 2: Check whether the given side lengths form a triangle. Add any two sides and see if it is greater than the other side. This set of side lengths does not satisfy Triangle Inequality Theorem.