If all the sides of a triangle are in the ratio 5:3:4 prove that it is a angle triangle
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The sides of a triangle are in the ratio 3:4:5
let the sides of triangle is 3x ,4x and 5x
As per Pythagoras theorem
(5x)
2
=(4x)
2
+(3x)
2
⇒25x
2
=16x
2
+9x
2
⇒25x
2
=25x
2
So this triangle is right angle triangle
Then one angle 90
0
and other angles total is 90
0
Then greatest angle is 90
0
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