3 years ago

What is the value of x?

1 answer:

Studentka2010 [4]3 years ago

6 0

The top smaller sub-triangle and the whole big triangle are similar. This means that the correspondant sides are in proportion. So, we have

$6\div 5 = 54\div 3x+12$

Which implies

$6(3x+12)=5\cdot 54 \iff 3x+12=\dfrac{5\cdot 54}{6}=45$

So, we have

$3x+12 = 45 \iff 3x = 33 \iff x=11$

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