In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side
1 answer:
Answer:
AB is shortest side
Step-by-step explanation:
According to given question circuit represented as,
From the images
![cos 30^0=\frac{BC}{38} \\0.86=\frac{BC}{38} \\BC=32.68 cm](https://tex.z-dn.net/?f=cos%2030%5E0%3D%5Cfrac%7BBC%7D%7B38%7D%20%20%5C%5C0.86%3D%5Cfrac%7BBC%7D%7B38%7D%20%20%5C%5CBC%3D32.68%20cm)
Now,
![sin 30^0=\frac{AB}{38} \\0.5=\frac{AB}{38} \\AB=19 cm](https://tex.z-dn.net/?f=sin%2030%5E0%3D%5Cfrac%7BAB%7D%7B38%7D%20%20%5C%5C0.5%3D%5Cfrac%7BAB%7D%7B38%7D%20%5C%5CAB%3D19%20cm)
Therefore, AB is shortest side
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