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7 votes
7 votes
△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.

User Joniba
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1 Answer

19 votes
19 votes

Given:


\Delta STR\cong \Delta LMN


SR=7b+8


LN=11b-12

To find:

The value of b and SR.

Solution:

We have,


\Delta STR\cong \Delta LMN (Given)


ST\cong LN (CPCTC)


ST=LN

Substituting the given values, we get


7b+8=11b-12


7b-11b=-8-12


-4b=-20

Divide both sides by -4.


(-4b)/(-4)=(-20)/(-4)


b=5

Now,


SR=7b+8


SR=7(5)+8


SR=35+8


SR=43

Therefore, the value of b is 5 and the measure of SR is 43 units.

User Nbout
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2.8k points