*∆ABC and ∆ PQR are congruent. If length of side BC is 4 cm then which side of ∆PQR has the length 4 cm
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Answer:
Area of an equilateral triangle of side-length a is equal to:
4
3
a
2
Area of ΔABC=
4
3
4
2
=4
3
Let s be the side-length of the equilateral triangle with double the area, then:
4
3
s
2
=2×4
3
=8
3
⟹s
2
=32⟹s=
32
=
16×2
=4
2
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