The height AK of an acute-angled isosceles triangle ABC (AB = BC) is 12 cm, KB = 9 cm. Find the sides of triangle ABC.
| November 22, 2020 | education
1) From the right-angled triangle ABK, we find the side AB by the Pythagorean theorem
AB = under the root 12 ^ 2 + 9 ^ 2 = 15
2) AB = BC = 15
3) KS = 15-9 = 6
4) From the right-angled triangle AKC we find the side of the AC
AC = under the root 12 ^ 2 + 6 ^ 2 = root of 180 = 6√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.
