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where do I start to solve this problem? do I calculate the altitude or use pythagorean theorem?

Where Do I Start To Solve This Problem Do I Calculate The Altitude Or Use Pythagorean Theorem class=

Sagot :

As shown in the image:

There are two right triangles:

the triangle are similar

naming the points for easy calculation

measure of the angle zyw = measure of the angle yxw

And the measure of the angle ywz = measure of the angle xwy

So, the triangle WYZ will be similar to the triangle WXY

So, the corresponding side will be in proportion

[tex]\begin{gathered} \frac{wy}{wx}=\frac{wz}{wy} \\ \frac{a}{16}=\frac{4}{a} \\ a^2=4\cdot16=64 \\ a=\sqrt[]{64}=8 \end{gathered}[/tex]

In the right triangle ywz:

using Pythagorean theorem:

[tex]\begin{gathered} yz^2=yw^2+wz^2 \\ b^2=a^2+4^2=8^2+4^2=64+16=80 \\ b=\sqrt[]{80}=8.94 \end{gathered}[/tex]

View image BraeleeB275311
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