In a right-angled triangle ABC C = 90 AC = 4√3 BC = 4. find the angle B and the hypotenuse AB.
| September 19, 2021 | education
The value of the angle ABC is determined through the legs of the right-angled triangle ABC.
tgABC = AC / BC = 4 * √3 / 4 = √3.
Angle ABC = arctan (√3) = 600.
The length of the hypotenuse AB is determined by the Pythagorean theorem.
AB ^ 2 = AC ^ 2 + BC ^ 2 = (4 * √3) ^ 2 + 4 ^ 2 = 48 + 16 = 64.
AB = 8 cm.
Answer: The length of the hypotenuse is 8 cm, the angle B is 60.
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