Question

∆ abc ~ ∆ def and their areas are 64cm2 and 100cm2 respectively.if ef=12cm then find the measure of bc​

Answer 1

The measure of bc​ is 9.6 cm

Step-by-step explanation:

Theorem : The ratio of the area of two similar triangles is equal to the ratio of the squares of their corresponding sides .

We are given that ∆ abc ~ ∆ def and their areas are 64cm2 and 100cm2 respectively and ef=12cm

So,$\frac{(bc)^2}{(ef)^2}=\frac{64}{100}$

$\frac{(bc)^2}{(12)^2}=\frac{64}{100}$

$(bc)^2=\frac{64}{100} \times 12^2$

$(bc)^2=92.16$

$bc = \sqrt{92.16}$

bc=9.6 cm

Hence the measure of bc​ is 9.6 cm

#Learn more:

∆ ABC ~∆DEF and their areas are respectively 64cm2 and 121cm2 if EF=15.4cm then find BC

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Answer 2

Answer:

According to the theorem Area of similar Triangle theorem

Hope this answer help u