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
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