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Alexxandr [17]
3 years ago
9

if the length of the longest side of a right triangle is 10 inches and one of the angles is 60 degrees, what is the length in in

ches of the shortest side
Mathematics
1 answer:
larisa [96]3 years ago
3 0
Тhe longest side of the right triangle is the hypotenuse.
The third angle of this triangle is 90 - 60 = 30°
The short leg is the side opposite the 30 degree angle.
In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. 
If the the hypotenuse = 10 inches then the short leg = 10/2 = 5 inches 
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Hello!

After reviewing the problem you have provided I have come up with the correct solution:

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To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)

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