rhe sides of a triangle are in the ratio of 3:4:5 state whether the triangle is right angled or not
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Ratio of sides = 3:4:5
Let common ratio = x
Sides = 3x, 4x, 5x
We know that hypotenuse is the longest side, then 5x will be the hypotenuse.
On applying Pythagoras theorem :-
(H)² = (P)²+(B)²
(5x)² = (3x)²+(4x)²
25x² = 9x²+16x²
25x² = 25x²
Both the sides are equal, that means Pythagoras theorem can be applied in it. Then, Yes, it will be a right angled triangle.
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