Friday, July 15, 2011

Can each of these #s be the measures of the sides of triangles?

the rule for sides to form triangle is largest side must be less than sum of other two sides.if the square of the largest side is 1) less than sum of squares of other two sides it is acute angled triangle.2)equal to sum of squares of other two sides then it is right angled triangle.3)greater than sum of squares of other two sides.then it is obtuse angled triangle. Here given sides 1)17<8+15 therefore these sides forms triangle.and also 17^2=8^2+15^2 there fore it forms right angled triangle .2)24>11+12,hence these sides doesnot form a triangle.3)35<13+30.hence these sides form a triangle.and also 35^2>13^2+30^2 therefore it forms obtuse angled triangle.

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