(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