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Module 1. Mathematics

A triangle always has

  • exactly one right angle.
  • at least two acute angles.
  • exactly two acute angle.

muhammad shafiq asking:

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Community Comments (1)

T
tsukiyo92 Posts: 13 15.07.2014 / 03:50
Definition:
Right angle = 90°
Acute Ange < 90° (less than 90°)
Obtuse Angle >90° <180°

We need to consider all type of triangle (2D0, total 180°)common:
Right Angle Triangle= one 90°, 2 other sum up to 90°
Equilateral Triangle= all three corner 60°

Since equilateral triangle have no 90°, neither exactly 2 acute angle, so second option is the answer. (which hold true to all type of 2D triangle)


Triangle do ATLEAST have 2 acute angle, just draw alot different triangle to figure out yourself.

Or mathematical method: (alot of thought, may be confusing)
Triangle have 3 corners with total of 180°. Few possibiliy:
If you have 1 right angle: 180-90=90° left, so there must be 2 acute angle.
If you have 1 obtuse angle,eg.: 180-160=20°, remain 2 angle are acute angle also.
If there is no obtuse nor right angle, then remain is 3 acute angle.

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