Math, asked by Shivakumar3540, 1 year ago

If ΔABC~ΔPQR,A(ΔABC)=80,A(ΔPQR)=125, then fill in the blanks. A(ΔABC)/A(Δ. . . . )=80/125 ∴AB/PQ=......./.......

Answers

Answered by JinKazama1
34
Final Answer:  \boxed{\frac{AB}{PQ} =  \frac{4}{5}  } 

Steps:
1) We have,
ΔABC and ΔPQR ,similar to each other. 
and 
ar(ΔABC) = 80 sq. units
ar(ΔPQR) = 125 sq. units 

2)  We know that , 
 Ratio of area of two similar triangles is equal to ratio of square of their corresponding sides. 


 \frac{ar(ABC)}{ar(PQR)} =  \frac{ AB^{2} }{ PQ^{2} } \\ \\ =\ \textgreater \    \frac{80}{125} =   \frac{ AB^{2} }{ PQ^{2} }  \\ \\ =\ \textgreater \   \frac{ AB^{2} }{ PQ^{2} } =  \frac{16}{25} \\ \\ =\ \textgreater \   \frac{ AB }{ PQ } =  \frac{4}{5}


Hence, 
 \boxed{\frac{AB}{PQ} = \frac{4}{5} }
Answered by challapushpalatha0
7

Answer:

u see in pic

Step-by-step explanation:

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