Question

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Answer 1

Show that..
\[\frac{ 1 }{ x } + \frac{ 1 }{ y } = \frac{ 1 }{ z }\]

Answer 2

is rc=pa

Answer 3

Triangles ACP and BCQ are similar. z/x = BC/AC
Triangles ACR and ABQ are similar. z/y = AB/AC

Add the two equations: z/x + z/y = BC/AC + AB/AC = (BC + AB)/AC = AC/AC = 1
z(1/x + 1/y) = 1
divide both sides by z
1/x + 1/y = 1/z

Answer 4

OMG. That was so clear. Thank you so much @ranga ;D

Answer 5

you are welcome.