Q. 64.0( 9 Votes )

Triangles ABC and

Answer :

Given: ΔABC ~ΔDEF

area (Δ ABC) = 16 cm²

area (Δ DEF) = 25 cm²

BC = 2.3 cm

To find: The length of EF.

Theorem Used:

Area of similar triangle:

The ratio of the areas of two similar triangles are equal to the ratio of the squares of any two corresponding sides.

Explanation:

Since, ΔABC ~ΔDEF

Then by area of similar triangle theorem,

By taking square root,

EF = 2.875cm

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