find
x y z from the Triangle
Please find this, it will mark you
as brainiest
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Step-by-step explanation:
You might start by recognizing that ABDABD and ADCADC are similar triangles, because they share the angles ∠DAC∠DAC and 9090 degrees. Therefore,
y4=zx=9y
y4=zx=9y
We can rearrange y/4=9/yy/4=9/y to obtain y2=36y2=36, so y=6y=6, which allows us to answer (b). Then by the Pythagorean theorem,
42+x2=y2=36
42+x2=y2=36
so x2=20x2=20, which means that x=20−−√x=20, which allows us to answer (a). Finally, rearranging the first equation above gives us
z=xy4=620−−√4
z=xy4=6204
which allows us to answer (c)
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