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How do i find the missing side lengths of a 30/60/90 triangle if it has a hypotenuse of 7?

User Woodly
by
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1 Answer

3 votes
The shortest side (the one opposite the 30o angle) is 1/2 the hypotenuse.
The shortest side = 7/2 = 3.5

The other side can before using a^2 + b^2 = c^2
c = 7
b = 3.5
a = x
x^2 + 3.5^2 = 7^2
x^2 + 12.25 = 49
x^2 = 36.75
x = sqrt(36.75)
x = 6.062

Check
6.062^2 + 3.5^2 =? 7^2
36.75 + 12.25 = 49
49 = 49 It does check.
User Anil Koppula
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7.2k points