True or false If the largest angle of a triangle is obtuse t

True or false? If the largest angle of a triangle is obtuse, then the other two are acute.

Solution

solution:

true

as

three angles suppose A,B,C

and

in a triangle

A+B+C=180

A= 180-B-C

if A>90

then

180-B-C>90

B+C<90

HENCE

both should be acute