Question

∆ ABC ~ ∆ DEF. BC=4 cm, EF=5 cm and area of
∆ ABC= 64 cm2. Determine the area of ∆ DEF.​

Answer 1

Step-by-step explanation:

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Answer 2

∆ ABC ~ ∆ DEF. BC=4 cm, EF=5 cm and area of  ∆ ABC= 64 cm2.

Since given the triangles are similar, we have,

(ar ∆ ABC) / (ar ∆ DEF) = BC² / EF²

64 / (ar ∆ DEF) = 4² / 5²

(64 × 5²) / 4² = ar ∆ DEF

(64 × 25) / 16 = ar ∆ DEF

ar ∆ DEF = 100 cm²