Math / Geometry

Question斉, What kind of triangle is this? equilateral isosceles but not equilateral scalene

Studdy Solution

STEP 1

1. We are given a triangle with angles labeled $34^\circ$ , $93^\circ$ , and $53^\circ$ .
2. We need to determine the type of triangle based on its angles.

STEP 2

1. Verify the sum of the angles.
2. Determine the type of triangle based on the angles.

STEP 3

Verify that the sum of the angles in the triangle is $180^\circ$ . The sum of the given angles is:
$34^\circ + 93^\circ + 53^\circ = 180^\circ$
Since the sum is $180^\circ$ , the angles form a valid triangle.

STEP 4

Determine the type of triangle based on its angles:
- An equilateral triangle has all angles equal to $60^\circ$ . - An isosceles triangle has at least two equal angles. - A scalene triangle has all angles different.
Given angles are $34^\circ$ , $93^\circ$ , and $53^\circ$ , all of which are different.
The triangle is a scalene triangle because all its angles are different.

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