In triangle ABC AC = BC = 27 AH-altitude sin BAC = 2/3. Find HH.
| May 20, 2021 | education
Since BH is our height, the angles BHA and BHC will be 90 degrees each.
It follows from this that the triangles BHA and BHC will be rectangular.
Then consider the triangle BHA.
Sin A = BH / AB.
The sine of the angle will be equal to the ratio of the opposite leg to the hypotenuse.
Now we substitute the values and find BH.
2/3 = BH / 27.
3 BH = 2 * 27.
3 BH = 54.
BH = 18 cm.
Answer: 18 cm.
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