prove that a triangle must have at least two acute angles
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Hey here is Your answer (^^)
⭐ANSWER :
⭐Solution:-
Sum of the three angles of a triangle = 180°
Let us assume that only one angle have to be acute i.e. less than 90°
Then the other two angles will have to be right or obtuse angles (90° or more than 90°)
Let us assume that both the angles are right angles (which is not possible)
Let the third angle be 'x', which is an acute angle.
⇒ 180° = x + 90° + 90°
⇒ x = 180° - 180°
x = 0
We know that an angle of a triangle cannot be 0.
Hence our assumption is completely wrong that two angles of a triangle are right angles. It cannot be possible.
Now, we can say that a triangle must have at least two acute angles.
Hence proved.
CHEERZ!
Hope it helped you out ⭐^_^⭐
Thanks ⭐(^^)⭐
⭐ANSWER :
⭐Solution:-
Sum of the three angles of a triangle = 180°
Let us assume that only one angle have to be acute i.e. less than 90°
Then the other two angles will have to be right or obtuse angles (90° or more than 90°)
Let us assume that both the angles are right angles (which is not possible)
Let the third angle be 'x', which is an acute angle.
⇒ 180° = x + 90° + 90°
⇒ x = 180° - 180°
x = 0
We know that an angle of a triangle cannot be 0.
Hence our assumption is completely wrong that two angles of a triangle are right angles. It cannot be possible.
Now, we can say that a triangle must have at least two acute angles.
Hence proved.
CHEERZ!
Hope it helped you out ⭐^_^⭐
Thanks ⭐(^^)⭐
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