In triangle ABC AB = BC = 13, height AD = 5 Find CAD
September 27, 2021 | education
| Since AD is the height of the ABC triangle, then the ABD triangle is rectangular, in which, according to the Pythagorean theorem, we determine the length of the leg BD.
BD ^ 2 = AB ^ 2 – AD ^ 2 = 13 ^ 2 – 5 ^ 2 = 169 – 25 = 144.
ВD = 12 cm.
Determine the length of the segment CD.
СD = ВС – ВD = 13 – 12 = 1 cm.
The ACD triangle is rectangular, in which tgCAD = CD / AD = 1/5 = 0.2.
Then the angle CAD = arctg0.2.
Answer: Angle CAD is equal to arctg0.2
![](/01.jpg)
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.