Knowee
Questions
Features
Study Tools

36 of 5536 of 55 Items36:43 Skip to resourcesQuestionGiven the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.sides 5 inches, 8 inches, and 15 inchesResponsesA no triangleno triangleB a unique trianglea unique triangleC more than one trianglemore than one triangleD the answer cannot be determined

Question

36 of 5536 of 55 Items36:43 Skip to resourcesQuestionGiven the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.sides 5 inches, 8 inches, and 15 inchesResponsesA no triangleno triangleB a unique trianglea unique triangleC more than one trianglemore than one triangleD the answer cannot be determined

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The answer is A: no triangle.

This is because of the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, 5 inches + 8 inches = 13 inches, which is less than 15 inches. Therefore, it is not possible to construct a triangle with these side lengths.

Similar Questions

a 70° angle, a 30° angle, an 80° angleHow many triangles can be made with the angle measures shown here?ResponsesA no triangleno triangleB a unique trianglea unique triangleC more than one trianglemore than one triangleD the answer cannot be determined

1. It is possible to solve a triangle if the only given information consists of the measures of the three angles of the triangle.. In general, it is not possible to use the 2 lengths of all the sides. Law of Sines to solve a triangle for which we are given the3. Given ∆ABC with A = 30°, c = 3 cm, and a = 2.5 cm. There can be more than one triangle with the given dimensions that can be drawn. 4. In a scalene triangle, the largest angle is always the opposite the longest side and the smallest angle is always the opposite teh shortest side.5. Given ∆ABC with a A = 57°, a = 15m, and c = 20 m. There is no triangle for these values

How many differently shaped triangles exist in which no two sides are of thesame length, each side is of integral unit length and the perimeter of the triangleis less than 14 units

How many triangles exist that fit the following criteria?C=60°,c=7.5,b=5

Two sides of a triangle are oflengths 5 cm and 1.5 cm. The length of the third side ofthe triangle cannot be

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.