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

bystudin | 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

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.