idrissharif idrissharif
  • 23-07-2018
  • Mathematics
contestada

What is the greatest number of acute angles that a right triangle can contain?

Respuesta :

DeanR
DeanR DeanR
  • 23-07-2018

The greatest number is the least number and the exact number: two.


Every right triangle contains one right angle, that's what makes it a right triangle.


The other two angles are acute angles. We know that because they are complementary angles, summing to a right angle. Since each angle has a positive measure, each must be less than a right angle. So each must be acute.


Answer: 2


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