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Ber [7]
3 years ago
9

The areas of two similar triangles are 16 cm2 and 25 cm2. One of the sides of the first triangles is 2 cm. What is the length of

the corresponding side of the other triangle?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

The length of the corresponding side is 2.5 cm

Step-by-step explanation:

∵ The 2 Δ are similar

∴ Their sides are proportional

∵ The area of first Δ 16 cm²

∵ The area of second Δ 25 cm²

∵ One side of first Δ 2 cm

∵ From similarity (\frac{S1}{S2})^{2}=\frac{A1}{A2}

∴ (\frac{2}{S2})^{2}=\frac{16}{25}

∴ \frac{2}{S2}=\sqrt{\frac{16}{25}}

∴ \frac{2}{S2}=\frac{4}{5}

∴ S2=\frac{(5)(2)}{4}=2.5 cm

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