Question

If the areas of two triangles ABC and PQR are in the ratio 9:16 and BC=4.5cm, what is the length of QR?

Answer 1

Both triangle must be similar triangles.
Then,

(Area)₁/(Area)₂ = (side)₁²/(side)₂²
⇒9/16 = (4.5)²/(side)₂²
⇒(side)₂ =[ (4.5)×4]/3
              = 6 cm

∴QR = 6 cm

Answer 2

Answer:

Step-by-step explanation:

ar(ABC)/ar(PQR)=(BC)×(BC)/(QR×QR)

9/16=4.5×4.5/QR×QR

QR×QR=4.5×4.5×16÷9

QR=√4.5×4.5×16÷9

QR=4.5×4/3

QR=18.0÷3

:- QR=6cm