Question

Prove that the triangle must have at least two acute angles

Answer 1

sum of three angles is equal to 180degrees so it has at least two acute angles

Answer 2

Sum of angle of triangle = 180°

Let assume that only one angle have to be acute angle i.e. less then 90°.

Then other to angle will have to be

Right or Obtuse angle.(90° or > 90°)

Let assume that both are 90°;then the third angle (X) which is an acute angle will be,

180° = 90 + 90 + X

X = 180 - 90 - 90

X = 180 - 180

X = 0°

We know that an angle of triangle can not be 0°

Therefore, our assumption was wrong. So, triangle have atleast two acute angle.

нορє γου υи∂єяѕτοο∂ мατє!!