Question

If triangle abc is similar to triangle pqr ,ar(abc)/ar(pqr) =9/4 and pq= 8cm , then find the length of AB.

Answer 1

Answer:

144 is the length of AB

Answer 2

The length of AB is 12 cm

Step-by-step explanation:

Theorem : The ratio of the area of the two similar triangles is equal to the ratio of the square of their corresponding sides

We are given that triangle abc is similar to triangle pqr

So, $\frac{ar(ABC)}{ar(PQR)}=\frac{AB^2}{PQ^2}$

$\frac{9}{4}=\frac{AB^2}{8^2}$

$\frac{9}{4 }=AB^2$

$\sqrt{\frac{9\times 8^2}{4}}=AB$

12=AB

Hence The length of AB is 12 cm

#Learn more:

Triangle and similar to triangle pqr, find the length of pq if ar (triangle abc)/ar (triangle pqr)=9/4 and ab is 18cm

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