Knowee
Questions
Features
Study Tools

A triangle has two sides of length 7 and 1. What is the largest possible whole-number length for the third side?

Question

A triangle has two sides of length 7 and 1. What is the largest possible whole-number length for the third side?

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

Solution

The length of the third side of a triangle must be less than the sum of the lengths of the other two sides, according to the triangle inequality theorem.

So, the third side must be less than 7 + 1 = 8.

However, since the question asks for the largest possible whole number length for the third side, we need to subtract 1 from 8 (because the third side must be less than 8, not equal to 8).

Therefore, the largest possible whole-number length for the third side of the triangle is 7.

This problem has been solved

Similar Questions

A triangle has two sides of length 2 and 5. What is the largest possible whole-number length for the third side?

The sides of a triangle have lengths 3, 6, and 7. What kind of triangle is it?acuterightobtuseSubmitQuestions

A triangle has two sides of length 16 and 4. What is the largest possible whole-number length for the third side?

Two triangles are similar. One has sides of 8 m, 5 m, and 6 m. If the longest side of the second triangle is 7 m, what are the length of the shortest side of the second triangle? (Answer to two decimal places.)

The lengths of the sides of a triangle are in the ratios 2 : 6 : 7The length of the longest side of the triangle is 24.5 cm.

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.