10. A ABC - A PQR. Area of A ABC is 72cm' and area of A PQR is 36cm.
If QR=12cm, find the length of the side of A ABC corresponding to QR.
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Answer:
7.2cm
2= square
Step-by-step explanation:
We know that the area of similar triangles ae proportional to the squares of their corresponding sides
∴
∴
A(△PQR)/A(△ABC)=(BC)2/(QR)2
Let BC =x cm Then
36/25=(x)2/(6)2
(x)2= 36*36/25
x= 6*6/5
x=36/5
x=7.5 cm
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