You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Congruent Triangles

If D is a poi...

Question

If D is a point on side AB of ABC and DE is a line through D meeting AC at E such that $Δ A D E \sim Δ A C B$ . Then AB. AD is equal to

AE. AC

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

AC. DE

No worries! We‘ve got your back. Try BYJU‘S free classes today!

AE. BC

No worries! We‘ve got your back. Try BYJU‘S free classes today!

AB. BC

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A AE. AC
$Δ A B C \sim Δ A E D \Rightarrow \frac{A B}{A E} = \frac{A C}{A D}$

Suggest Corrections

Similar questions

Q. In the given figure, ABC is a triangle in which AB = AC and D is a point on AB. Through D, a line DE is drawn parallel to BC and meeting AC at E. Prove that AD = AE.

In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. If $\frac{A D}{A B}$ = $\frac{A E}{x}$ , Then $x$ is equal to ___.

State true or false:

In triangle

A B C

D

and

E

are points on side

A B

such that

A D = D E = E B

. Through

D

and

E

lines are drawn parallel to

B C

which meet side

A C

at points

F

and

G

respectively. Through

F

and

G

lines are drawn parallel to

A B

which meet side

B C

at points

M

and

N

respectively, then

B M = M N = N C

In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. If $\frac{A D}{A B}$ = $\frac{A E}{x}$ , Then $x$ is

___.

In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. If $\frac{A D}{A B}$ = $\frac{A E}{x}$ , Then $x$ is

___.

Join BYJU'S Learning Program

If D is a point on side AB of ABC and DE is a line through D meeting AC at E such that ΔADE∼ΔACB. Then AB. AD is equal to

The correct option is A AE. ACΔABC∼ΔAED⇒ABAE=ACAD

If D is a point on side AB of ABC and DE is a line through D meeting AC at E such that $Δ A D E \sim Δ A C B$ . Then AB. AD is equal to

The correct option is A AE. AC
$Δ A B C \sim Δ A E D \Rightarrow \frac{A B}{A E} = \frac{A C}{A D}$