In triangle ABC it is known that AB = 10, angle BCA = 30 degrees, angle BAC = 45 degrees. Find BC.
| November 29, 2020 | education
the sum of the angles of a triangle is 180 °
therefore 35 ° + 45 ° = 90 °; 180 ° -90 ° = 90 °
therefore, it is a right triangle
since the angle is 30 °, consequently, BA is hypotenuse, which means the legs are 2 times smaller than the hypotenuse (by the property of right-angled triangles)
10: 2 = 5cm – BC
answer: 5cm
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