AA1 – perpendicular to the plane, AB and AC – inclined. Find x and y.
| July 25, 2021 | education
The ABC triangle is rectangular, then, according to the Pythagorean theorem, AB ^ 2 = AC ^ 2 + BC ^ 2 = 144 + 25 = 169.
AB = 13 cm.
In a right-angled triangle AA1B Sin60 = AA1 / AB.
AA1 = AB * Sin60 = 13 * √3 / 2 cm.
In a right-angled triangle AA1C, according to the Pythagorean theorem, A1C ^ 2 = AC ^ 2 – AA1 ^ 2 = 144 – 126.75 = 17.25.
A1C = √17.25 cm.
Answer: X = 13 * √3 / 2 cm, Y = √17.25 cm.
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