It is known that ∠ a = 1 / 2 ∠ B = 1 / 3 ∠ C in △ ABC, and its longest side is 2. The area of this triangle can be obtained

It is known that ∠ a = 1 / 2 ∠ B = 1 / 3 ∠ C in △ ABC, and its longest side is 2. The area of this triangle can be obtained

Let angle a be x, then angle B be 2x and angle c be 3x
Because the sum of the internal angles of the triangle is 180 degrees
So: x + 2x + 3x = 180 degree
The solution is: x = 30 degree
So: 2x = 60 °, 3x = 90 °
So this triangle is a right triangle
So according to Pythagorean theorem, the power of a + the power of B = the power of C
So the area of the triangle is 3 / 2

Elden Ring Premiere

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