The length of a pair of corresponding sides of two similar ∆'s are 3 cm and 11 cm. If the area of the first ∆ is 18 cm^2 find the area of the second ∆.

The area of the second triangle is 242 cm²

Step-by-step explanation:

In the similar triangles

∵ The length of a pair of corresponding sides of two similar ∆'s are

   3 cm and 11 cm

→ Find the ratio of the corresponding sides

∴ The ratio of their corresponding sides =

∵ The area of the first ∆ is 18 cm²

→ Use the second rule above

∵ =

∵ A1 = 18 cm²

→ Substitute it in the ratio above

∴ =

→ By using the cross multiplication

∵ A2 × 9 = 18 × 121

∴ 9A2 = 2178

→ Divide both sides by 9

∴ A2 = 242 cm²

∴ The area of the second triangle is 242 cm²

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

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step-by-step explanation: