Prove that a triangle must have two acute angles

Asked by katariayash1212 | 16th Jan, 2020, 06:35: PM

Expert Answer:

Sum of angles of triangle is 180
lets assume that one one angle is acute
 
case1:
one acute (say x), two 90o
sum of angles =
x + 90 + 90 = 180
x = 0...not possible 
hence 
two right angles are not possible
 
case1:
one acute (say x), two obtuse say(91 and 92)
sum of angles =
x + 91 + 92 = 180
x = -3...not possible 
hence 
two obtuse angles are not possible

Answered by Arun | 17th Jan, 2020, 09:58: AM

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