In the triangle ABC AC = BC, the CH height is 9, sinA = 0.9. Find the AC.
| May 7, 2021 | education
Since, by condition, CH is the height of the triangle ABC, the triangles AСН and BCH are rectangular.
In a right-angled triangle, the sine of its acute angle is the ratio of the length of the opposite leg to the length of the hypotenuse.
SinA = CH / AC.
AC = CH / SinA = 9 / 0.9 = 10 cm.
Answer: The length of the speaker side is 10 cm.
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