Math, asked by gudu62005, 11 months ago

- We now in a triangle sum of any two sides is greater
than the thirdside. Is the sum of any two angles of a
triangle also greater than the third angle? Justify Or
contradict with an example​

Answers

Answered by amitnrw
5

it is not necessary that sum of any two angle of a triangle is greater than the third angle

Step-by-step explanation:

we know in a triangle sum of any two sides is greater than the third side

But it is not necessary that sum of any two angle of a triangle is greater than the third angle

Example A right angle Triangle

where sum of two acute angles = Third angle (90°)

An obtuse angle triangle

where sum of two acute angles < obtuse angle

for example 30° + 30° < 120°

as a triangle has a + b + c = 180°

a + b = 180° - c

if a + b > c

=> 180° - c > c

=> 2c < 180°

=> c <  90°

Hence only acute angle triangle will satisfy  sum of any two angle of a triangle is greater than the third angle

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