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Sagot :
The least number of acute angles that a triangle can have is 2.
Let imagine you had 1 acute angle and 2 other angles that were non-acute (90° or higher)
a less than 90°
b less than 90°
c less than 90°
All the angles in a triangle add up to 180° (i.e) a + b + c = 180°
Since b and c are 90° or higher, that requires a to be negative. But we cannot have a negative angle, so there is no way to create a triangle with 1 (or fewer) acute angles.
all 3 angles of a triangle add up to 180 degrees
possible combination are
all 3 angles are acute scalene acute or equiangular
one right angle and 2 acute right triangle
one obtuse and 2 acute. obtuse triangle
therefore the least number is 2
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