W=? in centimeters please help.

Mathematics

1 answer:

iVinArrow [24]4 years ago

5 0

Answer:

w = 9 cm

Step-by-step explanation:

The figure shows two similar right triangles. Similar triangles have proportional corresponding sides.

Write a proportion between triangles' legs:

$\dfrac{12}{12+4}=\dfrac{w}{12}\\ \\ \\\dfrac{12}{16}=\dfrac{w}{12}$

Cross multiply:

$16\cdot w=12\cdot 12\\ \\16w=144\\ \\w=\dfrac{144}{16}\\ \\w=9$

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