CBSE Class 9 Answered
Prove that a triangle must have two acute angles
Asked by katariayash1212 | 16 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 | 17 Jan, 2020, 09:58: AM
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