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Find the missing length indicated. Leave your answer in simplest radical form.

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Find the missing length indicated. Leave your answer in simplest radical form. Please-example-1
User Mohan
by
8.2k points

1 Answer

2 votes

Answer:

C) 25

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

User RicardoS
by
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