(a) If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled. About the author Charlotte

GIVEN: IN TRIANGLE ABC, 1) A+B > C B+C >A A+C >B PROOF A+B+C=180 SUM OF MEASURES OF ALL ANG OF TRI 2} A+B=180-C FROM 1 AND 2… 180-C > C 180> 2C 90 > C DIVIDE BY 2 SIMILARLY ,, 90> A 90>B PROVED Reply

GIVEN

:IN TRIANGLE ABC,

1) A+B > C

B+C >A

A+C >B

PROOF

A+B+C=180 SUM OF MEASURES OF ALL ANG OF TRI

2} A+B=180-C

FROM 1 AND 2…

180-C > C

180> 2C

90 > C DIVIDE BY 2

SIMILARLY ,,

90> A

90>B

PROVED