In triangle ABC - D is a point on AB and E is a point on AC such that DE BC- If AD - AB - AE - x- Then x is equal toA- ABB- ACC- BDD- BC

The correct option is B AC In ABC, DE ∥ BC (Given) Therefore, AD/AB = AE/AC [By Basic Proportionality or Thale'sTheorem] Comparing the above with AD/ ...

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

Byju's Answer

Standard X

Mathematics

AAA Similarity

In triangle A...

Question

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 ___.

AC or CA

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

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

Open in App

Solution

The correct option is A AC or CA

In $△$ ABC,

DE $∥$ BC (Given)

Therefore, $\frac{A D}{A B}$ = $\frac{A E}{A C}$ [By Basic Proportionality or Thale'sTheorem]

Comparing the above with $\frac{A D}{A B}$ = $\frac{A E}{x}$

$x$ = AC

Suggest Corrections

Similar questions

Q. In triangle

A B C, D

is a point on

A B

and

E

is a point on

A C

such that

D E | | B C

. 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

___.

Q. In a triangle ABC, D and E are points on sides AB and AC respectively such that, DE||BC. Then

\frac{A D}{A B}

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 an isosceles triangle $A B C$ with $A B = A C, D$ and $E$ are points on $B C$ such that $B E = C D .$ The value of $\frac{A D}{A E}$ is equal to

Join BYJU'S Learning Program

In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. If ADAB = AEx, Then x is equal to ___.

The correct option is A AC or CA In △ABC, DE ∥ BC (Given) Therefore, ADAB = AEAC [By Basic Proportionality or Thale'sTheorem] Comparing the above with ADAB = AEx x = AC

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 ___.

The correct option is A AC or CA

In $△$ ABC,

DE $∥$ BC (Given)

Therefore, $\frac{A D}{A B}$ = $\frac{A E}{A C}$ [By Basic Proportionality or Thale'sTheorem]

Comparing the above with $\frac{A D}{A B}$ = $\frac{A E}{x}$

$x$ = AC