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Side of triangle is in the ratio 3:4:5.Find the measure of greatest angle.

Side of triangle is in the ratio 3:4:5.Find the measure of greatest angle.

Grade:8

2 Answers

arvind
39 Points
8 years ago
90
take all the sides in the ratio- 3x,4x,5x
it follows that (5x)^2 = (4x)^2 + (3x)^2
so it follows the pythagoras theorem so largest angle is 90
A M S ARUN KRISHNA
216 Points
8 years ago
900
according to pythagoraus theorem
(AC)2 = (AB)2 + (BC)2
(5x)2 = (3x)2 + (4x)2 
25x2 = 9x2 + 16x2
25x2 = 25x2
so it follows pythagoraus theorem 
so it must be a right angle and the largest angle of the triangle is 900

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