Respuesta :

The angles of a right angled triangle with acute angles of ratio 4:5 are as follows:

40 degrees = 0.698132 radian

50 degrees = 0.872665 radians

90 degrees = 1.5708 radians

Right angle triangle

Right angle triangle has one of its angle as 90 degrees. Therefore, the sum of the other two angles are less than 90 degrees.

The acute angle are in the ratio 4:5. Therefore,

  • 4 / 9 × 90 = 360 / 9 = 40 degrees

The other angle = 90 - 40 = 50 degrees.

The angles in radian are as follows:

40 degrees = 0.698132 radian

50 degrees = 0.872665 radians

90 degrees = 1.5708 radians

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