If the triangles ABC and ADE are similar- then AB-AD-

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Standard X

Mathematics

Conversion of solid from one shape to another

If the triang...

Question

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

\frac{B C}{D E}

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\frac{A C}{D E}

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\frac{C E}{D E}

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Solution

The correct option is A $\frac{B C}{D E}$
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

Q. If triangles ABC and ADE are similar then AB : AD =

Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of the two triangles, then $\frac{A B}{P Q} = \frac{A D}{P M}$

Q. State true or false:

Triangle

A B C

is similar to triangle

P Q R

. If

A D

and

P M

are altitudes of the two triangles, then

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

State true or false:

Triangle

A B C

is similar to triangle

P Q R

. If

A D

and

P M

are corresponding medians of the two triangles. Then,

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

Triangle ABC is similar to triangle PQR. If AD and PM are corresponding medians of the two triangles, prove that : $\frac{A B}{P Q} = \frac{A D}{P M}$ .

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If the triangles ABC and ADE are similar, then ABAD=.

The correct option is A BCDESince the given triangles are similar, the ratios of corresponding sides are equal. So, ABAD=BCDE=ACAE

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

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

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