ΔABC is a scalene triangle with acute angles.
Which angle is larger,
or ?
We have hundreds of course questions with personalized recommendations + Account 100% premium
ΔABC is a scalene triangle with acute angles.
Which angle is larger,
or ?
In this problem, we need to determine which angle, or , is larger in a scalene triangle with acute angles. However, we lack essential information such as specific side lengths or individual angle measurements, which would be necessary to apply triangle inequality or other angle-side relationships. The provided information is not sufficient to definitively compare the angles.
Given that no specific numeric information or other additional data to differentiate the angles is available, there is inherently no possible conclusion.
Therefore, the solution to this problem is: There is no way to know.
There is no way to know.
Is the straight line in the figure the height of the triangle?
Triangle diagrams can be misleading and not drawn to scale! Without specific measurements like side lengths or angle degrees, you cannot determine which angle is actually larger.
You would need either specific angle measurements (like ) or side lengths to use the angle-side relationship: larger angles are opposite longer sides.
A scalene triangle just means all sides are different lengths, so all angles are different too. But this doesn't tell us which specific angle is largest without actual measurements.
Acute angles means all angles are less than 90°, but this doesn't help compare and specifically. We still need measurements to determine which is larger.
Always list what information you have and what you need. If there's insufficient data to make a definitive comparison, then 'cannot be determined' or 'there is no way to know' is the correct answer!
Get unlimited access to all 18 Angles questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime