Question

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

Answer 1

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