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luda_lava [24]
3 years ago
13

How far is football field to the park? *show your work*

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

10.95 miles

Step-by-step explanation:

a = Park\ to\ Home\\\\b = Park\ to\ Football\ Field \\\\t_{h} = Park\ to\ Library\\\\t_{h} = \sqrt{a^{2} - 2^{2} } \\\\t_{h} = \sqrt{b^{2} - 10^{2} } \\\\b = \sqrt{12^{2} - a^{2} }  \\\\-----------\\\\a^{2} - 2^{2} = 12^{2} - a^{2} - 10^{2} \\\\2a^{2} = 144 - 100 + 4 = 48 \\\\a = \sqrt{24} = 4.9\ miles \\\\-----------\\\\b = \sqrt{144 - 24}  = \sqrt{120}  = 10.95\ miles

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