The leg of a right-angled triangle is 8 cm, and the hypotenuse is 12 cm. Find the area of the triangle.
| June 20, 2021 | education
The first leg is 8 cm; hypotenuse = 12 cm.
knowing this, we can find the second leg of this triangle by the Pythagorean theorem:
C ^ 2 = A ^ 2 + B ^ 2; B ^ 2 = C ^ 2 – A ^ 2; B ^ 2 = 12 ^ 2 – 8 ^ = 144 – 64 = 80; B ^ 2 = 80; B = √80.
S = ab / 2 = (8√80) / 2 = 4√80 = 16√5.
Answer: 16√5.
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.
