Please help on this math question!!

Mathematics

1 answer:

katrin2010 [14]2 years ago

6 0

Answer:

x = 49

Step-by-step explanation:

The third side of the largest of the inner triangles:

= $\sqrt{(7\sqrt{(33)^{2} }- (33)^{2}$

= $\sqrt{528} =\sqrt{(16)(33)} =4\sqrt{33}$

The side that continues next to 33: x -33

Applying similarity property on right triangles:

$\frac{33}{4\sqrt{33} } =\frac{4\sqrt{33} }{x-33}$

$(33)(x-33)=(4\sqrt{33} )^{2}$

$33x-1089=528$

$33x=528+1089$

$x=\frac{528+1089}{33} =49$

Hope this helps

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