Question

Prove that a triangle must have at least two acute angles.

Answer 1

●◆Ekansh Nimbalkar◆●
hello friend of here is your required answer

Answer 2

sum of angles of triangle = 180*( always)
Lets assume that only one angle have to be acute (contradiction)= less than 90*
the other two angle will have to be right or obtuse (90* and greater than 90) 
lets take a contradiction that both are of 90* 
the the 3rd angle (x) which is an acute angle will be - 
180*= 90*+90*=X
 X = 180*- 90*-90* 
X= 0 
we know that an angle of a triangle cannot be 0
so therefore our contradiction is wrong
so we can say that
.. we can prove that a triangle must have atleast two angles acute..