QQuestionMathematics
QuestionMathematics
Which triangle is both scalene and acute
| 10 ft | 90° | 7 ft |
| --- | --- | --- |
| 35° | 55° | 12.2 ft |
| 10 ft | 102° | 7 ft |
| 31° | 47° | 13.3 ft |
| 10 ft | 70° | 6.8 ft |
| --- | --- | --- |
| 40° | 70° | 10 ft |
| 10 ft | 51° | 9 ft |
| 58° | 71° | 8.3 ft |
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:Let's solve this step by step:
Step 2:: Recall the definitions
- A scalene triangle has no equal sides - An acute triangle has all angles less than 90°
Step 3:: Analyze the first set of triangles
First triangle: - Angles: 35°, 55°, 90° - Not acute (90° angle exists) - Sides: 10 ft, 7 ft, 12.2 ft - Sides are different lengths (scalene) Second triangle: - Angles: 31°, 47°, 102° - Not acute (102° angle is > 90°) - Sides: 10 ft, 7 ft, 13.3 ft - Sides are different lengths (scalene)
Step 4:: Analyze the second set of triangles
First triangle: - Angles: 40°, 70°, 70° - Not scalene (two 70° angles) - Not acute (70° angles are fine) Second triangle: - Angles: 58°, 71°, 51° - All angles < 90° (acute) - Sides: 10 ft, 9 ft, 8.3 ft - Sides are different lengths (scalene)
Final Answer
The triangle with angles 58°, 71°, and 51° is both scalene and acute.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students