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irakobra [83]
2 years ago
14

HELp I will give brainliest!!

Mathematics
1 answer:
3241004551 [841]2 years ago
7 0

Answer:

c=\sqrt{65}=8.062.

Step-by-step explanation:

\text{Consider }  \bigtriangleup DBC, \text{by Pythagoras}\\DB^2+BC^2=DC^2 \\\Rightarrow  b^2=DC^2-BC^2\\\Rightarrow  b^2= 5^2-3^2=25-9\\\Rightarrow  b^2= 16\\\text{Then } , b=4.\\ \text{Consider }  \bigtriangleup DBA, \text{by Pythagoras}\\DB^2+BA^2=DA^2\\\Rightarrow c^2=b^2+BA^2\\\Rightarrow c^2=4^2+7^2\\\Rightarrow c^2=16+49\\\Rightarrow c^2=65\\\text{Then } , c=\sqrt{65}=8.062.

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