∆ABC~∆DEF area of triangle abc is 64cm² and area of triangle DEF is 9cm². if AB is 16cm what is De?​

∆ABC~∆DEF area of triangle abc is 64cm² and area of triangle DEF is 9cm². if AB is 16cm what is De?​

In this solution, we assume that the given sides of ∆ABC and ∆DEF correspond to each other. So, the side DE is equal to 6 cm.

Since ∆ABC ~ ∆DEF, the corresponding sides of the triangles are proportional to each other, from that the following proportion can be done:

AB/DE = BC/EF

By substituting the given values, we get:

16/DE = √(64/9)

To simplify the equation, we have to square both the sides:

(16/DE)² = 64/9

By Cross-multiplying, we get:

256 = 64(DE)²/9

By simplifying further, we have:

(DE)² = (256 × 9)/64

(DE)² = 36

By taking the square root of both sides, we get:

DE = √36

DE = 6 cm

Therefore, the DE is equal to 6 cm.

To know more about triangle;

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