Find the length of the longer leg of a 30°-60°-90° triangle with a hypotenuse of 6 in.
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OpenStudy (anonymous):
Ratio of the sides of a right triangle are:
1 (short leg)
2 (hypotenuse)
√3 (longer leg)
Using ratios:
hypotenuse / longer leg = hypotenuse / longer leg
2 / √3 = 6 / x
Cross multiply:
2x = 6√3
x = 3√3
Using a calculator, that is about 5.2 inches.
OpenStudy (anonymous):
3in.
2\[\sqrt{3}\]
3\[\sqrt{3}\]
6\[\sqrt{3}\]
jhonyy9 (jhonyy9):
so do you know what sign sinus of an angle inside a right triangle ??
OpenStudy (anonymous):
wut?
jhonyy9 (jhonyy9):
so like sinA = opposite side divide hypothenus
right ?
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OpenStudy (anonymous):
yea
jhonyy9 (jhonyy9):
and we knoe again that to the smaler angle willé be oposite the shorter side
yes ?
OpenStudy (anonymous):
yes
jhonyy9 (jhonyy9):
know wann to be there sorry
OpenStudy (anonymous):
its okay(:
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