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Right triangle: Find AB if BC=3, BD=5, and AD=7

Mathematics
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Well, you know two sides of the inner right triangle BCD and AD. You could use Pythagorean theorem to find the third side of the first triangle, and that's one segment of the leg in the larger right triangle. Then just add them together and use Pythagorean theorem again...
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Other answers:

5^2=3^2+4^2 DC=4 ad+dc=ac=4+7=11 ab=sqrt(121+9) ab=sqrt(130)
first find DC using \[h ^{2}=p ^{2}+b ^{2}\] AND then find AB considering ABC right angled triangle
\[AB=5*\sqrt 26\]
Great, thanks guys.

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