In triangle ABC, angle C is 90 degrees, AC = 4, cos A = 0.8 Find AB.
| May 2, 2021 | education
Given:
ABC is a right-angled triangle.
cos A = 0.8.
AC = 4.
Angle C = 90 °.
Decision:
cos angle = adjacent leg / hypotenuse.
cos A = AC / AB = 0.8; now we substitute their numerical value instead of the sides.
4 / AB = 0.8; the same equation can be represented as 4 / AB = 0.8 / 1; we multiply the cross by the cross.
AB = 4 / 0.8.
AB = 5. (hypotenuse)
This is an Egyptian triangle with sides: 3: 4: 5.
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