State true or false:
If the angles of a triangle are in the ratio 2 : 3 : 5; then the triangle is a right angled triangle.

True

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False

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Solution

The correct option is A True
The angles of the triangle are in the ratio 2: 3: 5
Let the angles be $2 x, 3 x, 5 x$
Sum of angles = $2 x + 3 x + 5 x = 180$
$10 x = 180$
$x = 18$
Thus, the angles are: $36^{\circ}, 54^{\circ}, 90^{\circ}$

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