Question

triangle abc similar to triangle pqr a triangle abc : a triangle pqr = 81:49 write the ratio of ac : pr​

Answer 1

Step-by-step explanation:

In ΔABC ≅ ΔPQR,

Given,

(ΔABC) : (ΔPQR) = 81 : 49

To find, AC : PR = ?

We know that,

(\dfrac{AC}{PR} )^{2} =\dfrac{Ar(ABC)}{Ar(PQR)}

⇒(\dfrac{AC}{PR} )^{2} =\dfrac{81}{49}

⇒(\dfrac{AC}{PR} )^{2} =(\dfrac{9}{7} )^{2}

∴ AC : PR = 9 : 7

The ratio of AC and PR is 9 : 7