The leg of a right-angled triangle is 3cm and 4cm. how much is the tangent of one acute

univerkov | February 16, 2021 | education

The leg of a right-angled triangle is 3cm and 4cm. how much is the tangent of one acute angle greater than the tangent of another acute angle.

The tangent of an acute angle of a right-angled triangle is the ratio of the length of the opposite leg to the length of the adjacent leg.

Then tgBAC = BC / AC = 4/3.

tgABC = AC / BC = 3/4.

Then the ratio of tangents of acute angles is: tgBAC / tgABC = (4/3) / (3/4) = 1.

Answer: The ratio of tangents of acute angles is 1.

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