If BC = 8.3, CD = 6.7, and AD = 11.6, find AB to the nearest tenth.

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asked Oct 17, 2015 222k views

4 votes

If BC = 8.3, CD = 6.7, and AD = 11.6, find AB to the nearest tenth.

Mathematics
high-school

Reddspark asked

by Reddspark

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2 Answers

5 votes

Answer: 12.6

Explanation:

Vignesh VS answered Oct 17, 2015

by Vignesh VS

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4 votes

$|BC|=8.3;\ |CD|=6.7;\ |AD|=11.6\\\\|AC|^2+|CD|^2=|AD|^2\\\\|AC|^2+6.7^2=11.6^2\\\\|AC|^2=134.56-44.89\\\\|AC|^2=89.67\\---------------\\|AB|^2=|BC|^2+|AC|^2\\\\|AB|^2=8.3^2+89.67\\\\|AB|^2=68.89+89.67\\\\|AB|^2=158.56\\\\|AB|=√(158.56)\\\\|AB|\approx12.6$