In the ABC triangle, it is known that angle a = 30 °, angle B = 45 °, the CK – height, spell = 10 cm.

In the ABC triangle, it is known that angle a = 30 °, angle B = 45 °, the CK – height, spell = 10 cm. Locate the bk segment.

The height of CK forms the rectangular triangles of ACK and BCK.

In the rectangular triangle ACK, the CK catat lies against an angle of 30, then its length is equal to half the length of the AC hypotenuse.

CK = AC / 2 = 10/2 = 5 cm.

In a rectangular triangle, the BCK one of the sharp corners is 45, then the length of its cathets is equal.

Bk = ck = 5 cm.

Answer: The length of the BK segment is 5 cm.