The three consecutive sides of the quadrilateral are 2,3,4 and the in-circle radius is 1.2. Find the area of the quadrilateral.
| July 2, 2021 | education
Since a circle is inscribed in a quadrilateral, the sum of its opposite sides is equal to each other.
By condition, consecutive sides are indicated lengths, then sides with lengths of 2 cm and 4 cm will be opposite.
AB + CD = BC + AD.
AD = 2 + 4 – 3 = 3 cm.
Let us determine the area of the quadrilateral through its semiperimeter and the radius of the inscribed circle.
Savsd = p * r = (AB + BC + CD + AD) * r / 2 = 12 * 1.2 / 2 = 7.2 cm2.
Answer: The area is 7.2 cm2.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
