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The pair of figures is similar. Find x. Round to the nearest tenth if necessary.

The pair of figures is similar. Find x. Round to the nearest tenth if necessary.-example-1
User Sean Cline
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2 Answers

6 votes
23/x = 40/17
23(17) = 40x
391/40 = x
9.775 = x
User Arjun Raj
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3 votes

The pair of triangle shown in the diagram are similar. Similar triangle have proportional corresponding sides. So you can write a proportion connecting all given known and unknown sides:


(23)/(40)=(x)/(17).

From here you have that


40\cdot x=23\cdot 17,\\ \\x=(23\cdot 17)/(40)=(391)/(40)=9.775\approx 9.8\ cm.

Answer: 9.8 cm.


User Amal G Jose
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