We appreciate your visit to Two sides of a triangle measure 27 inches and 32 inches Which could represent the length of the third side Answer options A 5 in. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
62 in
Step-by-step explanation:
the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.
Thanks for taking the time to read Two sides of a triangle measure 27 inches and 32 inches Which could represent the length of the third side Answer options A 5 in. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Final answer:
The length of the third side of a triangle with sides measuring 27 inches and 32 inches, according to the Triangle Inequality Theorem, must be greater than the absolute difference of these lengths but less than their sum. Hence, the only possible option is 7 inches.
Explanation:
This problem is a geometric one heading under Triangle Inequality Theorem, which states that the length of the side of a triangle is always less than the sum of the lengths of the other two sides, but more than the absolute difference of those two sides. In this case, we have two sides each measuring 27 inches and 32 inches.
Here, the sum of the lengths is 27 + 32 = 59 inches. Therefore, the third side must be less than 59 inches. Now, the absolute difference of the lengths of the two sides is |27 - 32| = 5 inches. As a result, the length of the third side must be more than 5 inches.
The only options fitting this criteria are 7 inches and 59 inches. But the length has to be strictly less than 59 inches and strictly more than 5 inches. Therefore, 59 inches cannot be the length, only the maximum limit to the length. Hence, the third side has a length of only 7 inches.
Learn more about Triangle Inequality Theorem
https://brainly.com/question/12252201
#SPJ3
