In triangle ABC, angle C = 90 degrees, AB = 20, BC = 12cm; Find: cos a
| September 20, 2021 | education
Find the length of the AC leg.
the Pythagorean theorem states:
AB² = AC² + BC².
Based on this theorem, we obtain
AC² = AB² – BC²,
We substitute the given values into the formula
AC² = 400 – 144.
We get the value of the leg
AC = 16.
cos (a) = AC / AB.
We substitute the given values into the formula
cos (a) = 16/20,
cos (a) = 4/5.
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