If triangle ABC is similar to triangle PQR and ar(ABC) = ar(PQR) the prove that triangle ABC is congruent to trinaglePQR
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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)
=
QR
2
BC
2
Let BC=x cm. Then,
25
36
=
6
2
x
2
x
2
=
25
36×36
x=(
5
6×6
)
x=
5
36
=7.2 cm.
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