In triangle ABC, the angle A is equal to the angle B is 45 degrees and AB
| August 11, 2021 | education
In triangle ABC, the angle A is equal to the angle B is 45 degrees and AB is 19 cm Find the projection of the segment AC onto the line AB.
Triangle ABC is isosceles and rectangular, then Sin45 = AC / AB.
AC = AB * Sin45 = 18 * √2 / 2 = 9 * √2 cm.
Let’s draw the height of the CH, then in the triangle ACH Cos45 = AH / AC.
AH = AC * Cos45 = 9 * √2 * √2 / 2 = 9 cm.
Answer: The projection length of the speaker is 9 cm.
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