In the triangle ABC AC = BC, the height of CH is 26, cosA = √2 / 2. Find AB.
| July 16, 2021 | education
1. Consider triangles АСН and НСВ, they are both isosceles, therefore it follows from this that АН = НВ = СН = 26 cm.
2. We also know cos a = √2 / 2. But we need to convert cos a to degrees, since this is a tabular value then cos a = 45.
3. It remains to find AB:
AB = 26 + 26;
AB = 52.
Answer: AB = 52.
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