# The area of the right triangle is 2450√3 / 3. One of the acute angles is 30 °. Find the length of the leg adjacent to this corner

May 31, 2020 | Education

| The area of a right triangle is half the product of the legs:

S = AC * BC / 2 = 2450√3 / 3

Let the angle BAC be equal to 30 degrees.

Tangent BAC:

td∠BAC = tg30 ° = BC / AC = √3 / 3 (according to the table).

BC = AC√3 / 3

S = AC * BC / 2 = 2450√3 / 3

AC * BC = 4900√3 / 3

AC * AC√3 / 3 = 4900√3 / 3

AC2 = 4900

AC = 70

Answer: 70

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