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Chapter 8: Q. 409 (page 997)

In the following exercises, 螖DEF is similar to 螖NPQ .

Find the length of side d.

Short Answer

Expert verified

The length of side d=7718

Step by step solution

01

Step 1. Given information

Given鈭�DEFand鈭�NPQare similar to each other

localid="1647883925118" From鈭�DEFDE=52EF=dDF=7From鈭�NPQNP=qPQ=112NQ=9

02

Step 2. Finding the length of side d

For similar triangles: All corresponding angles are equal and All corresponding sides have the same ratio Also notice that the corresponding sides face the corresponding angles

DENP=EFPQ=DFNQand鈭�D=鈭�N鈭�E=鈭�P鈭�F=鈭�Q

From above similar triangle rule we can find the value EFPQ=DFNQ

i.e,d112=792d11=7918d=77d=7718

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