paulbabchanik paulbabchanik
  • 08-05-2021
  • Mathematics
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Find the missing length indicated. Leave your answer in simplest radical form.
Please help due today!!

Find the missing length indicated Leave your answer in simplest radical form Please help due today class=

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mlarsen5000
mlarsen5000 mlarsen5000
  • 08-05-2021

Answer:

C) 25

Step-by-step explanation:

First, solve for the height (red dotted line) using the Pythagorean theorem 9²+b²=15²

81+b²=225

b²=225-81

b²=12

Then set up a ratio.

x/12=9/15

simplify

x/12=3/5

cross-multiply

3x=60

x=20

This gives us the base.  Now we can solve for x using the Pythagorean theorem again.

20²+15²=x²

400+225=x²

625=x²

√x²=√625

x=25

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