Which image below is an acute triangle?

Triangle A has angles measuring ninety five degrees, forty five degrees, and thirty degrees. Triangle B has angles measuring one hundred degrees, twenty five degrees, and twenty five degrees. Triangle C has angles measuring fifty degrees, sixty five degrees, and sixty five degrees. Triangle D has angles measuring thirty degrees, one hundred ten degrees, and twenty degrees.

A. Triangle A
B.Triangle B
C. Triangle C
D. Triangle D

Answer:

Triangle C.

Step-by-step explanation:

Acute triangles are triangles that have acute angles. Acute angles are angles that are less than 90 degrees.

Triangles A, B and D all have at least one angle that is greater than 90 degrees. Triangle C is the only triangle that has all acute angles, therefore it is an acute triangle.

Triangle C is an acute angle triangle.

The correct option is (C).

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

As per the given data:

The values for all the angles in Triangle A, Triangle B and Triangle C is given.

To find out the acute angle triangle, if all angles is a triangle are lesser than 90°, then it's an acute angle triangle.

Triangle A:

95° > 90° {not acute}

45° < 90°

30° < 90°

This is not an acute angle triangle.

Triangle B:

100° > 90° {not acute}

25° < 90°

25° < 90°

This is not an acute angle triangle.

Triangle C:

50° < 90°

65° < 90°

65° < 90°

This is an acute angle triangle.

Triangle D:

30° < 90°

110° > 90° {not acute}

20° < 90°

This is not an acute angle triangle.

Hence, Triangle C is an acute angle triangle.

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