In triangles ABC and ABD, angle CAB = angle DAB, angle CBA = angle DBA, BC = 8. Find BD.
| August 15, 2021 | education
Let us prove that triangles ABC and ABD are equal.
By condition, the angle CAB = DAB, and the angle CBA = DBA, and the side AB of the triangles is common.
Therefore, the triangle ABC is equal to the triangle ADB along the side and two adjacent corners, the second sign of equality by the triangle.
Since the triangles are equal, then BD = CB = 8 cm.
Answer: The length of the side BD is 8 cm.
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