Question

in triangle abc similar to triangle Def such that AB is equal to 5 cm AC is equal to 7 cm DF is equal to 15 and d is equal to 12 cm find the length of remaining sides of the triangle
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Answer 1

Answer:-

BC = $\frac{28}{5}$

DE = $\frac{75}{7}$

Step-by-step explanation:

In this question

We have been given that

ΔABC similar to ΔDEF and sides of triangle is AB = 5cm, AC = 7cm, DF = 15cm and EF = 12cm

We need to find other side of triangle,

so, ΔABC and ΔDEF are similar triangle

similar triangle formula is $\frac{AB}{DE}$ = $\frac{BC}{EF}$ =$\frac{AC}{DF}$

$\frac{5}{DE}$ =$\frac{BC}{12}$ = $\frac{7}{15}$

$\frac{5}{DE}$ = $\frac{7}{15}$

DE = $\frac{75}{7}$

similarly, $\frac{BC}{EF}$ = $\frac{AC}{DE}$

$\frac{BC}{12}$ = $\frac{7}{15}$

BC = $\frac{28}{5}$

Hence, value of other side of triangle BC =   $\frac{28}{5}$ and DE = $\frac{75}{7}$

Answer 2

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this is the correct answer

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