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SSS Similarity

The triangles...

Question

The triangles ABC and ADE are similar.

Which of the following is true ?

\frac{A B}{A D} = \frac{B C}{D E}

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\frac{B C}{B D} = \frac{C E}{D E}

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$\frac{E C}{A C} = \frac{A D}{D E}$

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\frac{A B}{A D} = \frac{A E}{A B}

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Solution

The correct option is A $\frac{A B}{A D} = \frac{B C}{D E}$
Since the given triangles are similar, the ratios of corresponding sides are equal.

So, $\frac{A B}{A D} = \frac{B C}{D E} = \frac{A C}{A E}$

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Similar questions

If the triangles ABC and ADE are similar, then $\frac{A B}{A D}$ =.

A B C

P Q R

A D

P M

\frac{A B}{P Q} = \frac{A D}{P M} .

A B C

P Q R

A D

P M

\frac{A B}{P Q} = \frac{A D}{P M} .

△ A B C \sim △ E D F

△ A B C

△ D E F,

In a triangle ABC, AD, BE and CF are the medians. Which of the following statements is true?

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