The height of a right triangle lowered to the hypotenuse forms an angle of 55 degrees
| August 1, 2021 | education
The height of a right triangle lowered to the hypotenuse forms an angle of 55 degrees with one of the legs: find the acute angles of this triangle.
The height of a right-angled triangle, drawn from the vertex of the right angle, divides the ABC triangle into two similar triangles, each of which is similar to the original one. Then the angle ACB = ABH = 55.
Angle BAC = CHB = 90 – 55 = 35.
Answer: The acute angles of the triangle ABC are equal to 35 and 55.
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