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Sagot :
Answer:
I’m not sure what the direct method is, but here’s my proof.
RULES : The sum of angles in a triangle is 180 degrees. There is no such thing as a negative, or zero, angle in a polygon.
Let a,b and c be the three angles in a right triangle. let a be the right (90 degree) angle.
a+b+c = 180
a = 90, so b+c = 90.
0 < b, because b cannot be less than (or equal to) zero, by the rules
b < 90 because if b >= 90, then c <= 0, which breaks the rules.
Therefore, 0<b<90, making b an acute angle. A similar proof follows for c.
Answer:
I’m not sure what the direct method is, but here’s my proof.
RULES : The sum of angles in a triangle is 180 degrees. There is no such thing as a negative, or zero, angle in a polygon.
Let a,b and c be the three angles in a right triangle. let a be the right (90 degree) angle.
a+b+c = 180
a = 90, so b+c = 90.
0 < b, because b cannot be less than (or equal to) zero, by the rules
b < 90 because if b >= 90, then c <= 0, which breaks the rules.
Therefore, 0<b<90, making b an acute angle. A similar proof follows for c.
Step-by-step explanation:
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