In triangle ABC AC = BC, AB = 40, tgA = 0.25. Find the height CH
| April 16, 2021 | education
Since AC = AB, triangle ABC is isosceles.
This means that the height, lowered from the apex of the triangle, divides the base in half, and forms two right-angled triangles.
The tangent of an angle is the ratio of the opposite leg to the adjacent leg.
In this case, the opposite leg is the CH height, and the adjacent leg is half the base.
tg A = 0.25 = CH: AB / 2 = CH / 20,
CH / 20 = 1/4,
CH = 5.
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