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fgiga [73]
3 years ago
12

Given that a triangle has two sides of lengths 5 inches and 7 inches, which is a possible length of the third side?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer: it’s 13

because 13-7-5= 1

12-5-7=0 which is invalid

7-5-2=0 which is invalid

7-5-3=-1 which is invalid

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A boy who is flying a kite lets out 300 feet of string which makes an angle of 60o with the ground. Assuming that the string is
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<h3><u>Answer</u> :</h3>

See the attachment for better understanding.

<u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u>: Length of string (AC) = 300ft

<u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u> </u>: Height of the kite from ground (AB)

:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}

:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}

:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}

:\implies\sf\:H=150\sqrt{3}

:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}

Hope it helps !

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