Question

given Δabc congurent to Δpqr, if bc/qr=2/3 find arΔabc/arΔpqr.

Answer 1

Answer:

4 / 9

Step-by-step explanation:

When scaling so that lengths change by a factor k, areas change by a factor k².

Here we have Δabc is obtained from Δpqr by scaling by the factor 2/3.

So the area of Δabc is 4/9 times the area of Δpqr.

Answer 2

if both ∆congruent

then

BC=QR---------+by CPCT

Now

Area∆ABC/Area∆PQR=(BC/QR)^2

Area∆ABC/Area∆PQR=(2/3)^2

Area∆ABC/Area∆PQR=4/9

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