Math, asked by preetsidhu1, 1 year ago

prove that triangle must have at least two acute angles

Answers

Answered by 012jas1234
1
sum of angles of triangle = 180*

Lets assume that only one angle have to be acute ei. <90*

Then the other two angle will have to be right or obtuse (90* and 90>)

lets assume that both are of 90* (lowest possibility)

the the 3rd angle (x) which is an acute angle will be -

180*= 90*+90*=X

X = 80*- 90*+90*

X= 0

we know that an angle of a triangle cannot be 0

hence our assumtion  is proved wrong!

with this.. we can prove that a triangle MUST have atleast two angles acute....

....I hope this was helpful


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