Angle Comparison in Scalene Triangles: Which is Larger, Angle C or A?

Question

ΔABC is a scalene triangle with acute angles.


Which angle is larger,
∢C ∢C or ∢A ∢A ?

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Video Solution

Solution Steps

00:00 Which angle is larger - A\C?
00:05 The triangle has acute angles according to the given information
00:10 Because besides this, we are not given any information about the angles
00:15 It cannot be determined
00:19 And this is the solution to the question

Step-by-Step Solution

In this problem, we need to determine which angle, ∠C \angle C or ∠A \angle A , 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.

Answer

There is no way to know.

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Related Subjects

The Sum of the Interior Angles of a Triangle The sides or edges of a triangle Triangle Height Obtuse Angle Exterior angles of a triangle Right angle Plane angle Acute Angles Median in a triangle Center of a Triangle - The Centroid - The Intersection Point of Medians All terms in triangle calculation Types of angles (right, acute, obtuse, straight)

Question Types

Parts of a Triangle: Identify the greater value Parts of a Triangle: Using angles in a triangle Types of Aangles (Right, Acute, Obtuse, Flat): Identify the greater value Types of Aangles (Right, Acute, Obtuse, Flat): Using angles in a triangle