Find the missing part

asked Nov 27, 2020 169k views

5 votes

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6 votes

Answer:

$\large\boxed{z=(15\sqrt3)/(2)$

Explanation:

Lookat the picture.

We have

$2a=15\to a=(15)/(2)\to a\sqrt3=(15\sqrt3)/(2)$

small triangle:

$x=2a=(15)/(2)\to a=(15)/(4)\to y=(15\sqrt3)/(4)$

$a+b=15\to b=15-(15)/(4)=(60)/(4)-(15)/(4)=(45)/(4)$

$a=(15)/(4)\\\\b=(45)/(4)\\\\x=(15)/(2)\\\\y=(15\sqrt3)/(4)\\\\z=(15\sqrt3)/(2)$

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