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1 vote
Ella's geometry teacher asked each student to devise a problem and write out its solution. Here is Ella's work: A triangle has side lengths of 10, 11, and 15. What type of triangle is it? Procedure: 102 ?? 112 + 152 100 ?? 121 + 225 100 < 346 Conclusion: This triangle is an acute triangle. Which statement best summarizes Ella's work?

2 Answers

5 votes

Answer: D. Ella’s procedure and conclusion are incorrect.

Step-by-step explanation:

just did it on edge 2023

User JHoerbst
by
6.8k points
3 votes

Answer:

Confusing and incorrect. If the squares on the two shorter sides add to less than the square on the longer side, the triangle is obtuse.

Step-by-step explanation:. It would be a lot easier to understand if Ella uses standard notation for a number squared: carat ^2 if superscript is not available. Logic will help too. If you know that a^2 +b^2 = c^2 produces a Right Triangle, try to envision or sketch the lengths of a known acute triangle and see if the sum of the squares is greater or less than the square in the longest side.

User Hussain Rahimi
by
7.9k points
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