In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC. If A D A B = A E x , Then x is ___. Options:

Answer: Option A : In △ ABC, DE ∥ BC (Given) Therefore, A D A B = A E A C [By Basic Proportionality Theorem] Comparing the above with A D A B = A E x x = AC

In triangle ABC, D is a point on AB and E is a point on AC such that DE || BC.

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

___.

Options:

Answer: Option A
:

In $△$ ABC,

DE $∥$ BC (Given)

Therefore, $\frac{A D}{A B}$ = $\frac{A E}{A C}$ [By Basic Proportionality Theorem]

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

$x$ = AC

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. In △ ABC, ∠A and ∠C are given, the number of triangles that can be constructed wit....triangles that can be constructed with this data is -

Question 2. In below shown figure, PSSQ= PTTR and∠PST= ∠PRQ. Then ΔPQR is a/an __ triangle.....

Question 3. ABCD is a square. Equilateral triangles ACF and ABE are drawn on the the diagonal AC and side AB respectively. Find area....AB respectively. Find area of △ACF : area of △ABE.

Question 4. In a right △ABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following....not give the ratio of the areas of △ABD and △ACB?

Question 5. Find the ratio of area of the equilateral triangles whose sides are 3 and 4 units. ....

Question 6. A ladder is resting on a wall of height 10√7m such that the foot of the ladder when placed 10√7m away fr....far is the foot of the ladder from the wall?

Question 7. If the distance between the top of two trees of height 20 m and 28 m is 17 m, then the horizontal distance between th....m is 17 m, then the horizontal distance between the trees is:

Question 8. The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is __....: 3. The ratio of their corresponding heights is _________.

Question 9. The areas of two similar triangles are 49 cm2 and 64 cm2 respectively. The ratio of their correspo....49 cm2 and 64 cm2 respectively. The ratio of their corresponding sides is ____.

Question 10. D, E, F are the mid points of the sides BC, CA and AB respectively of an equilateral △ ABC. Then △ DEF is congruen....an equilateral △ ABC. Then △ DEF is congruent to triangle –

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

DSP Combined 1 Free Revision Test SAIL JO E-0

GPOE / GPA Combined 1 Free Revision Test SAIL JO E-0

BSP Plant Specific Review Test SAIL JO E-0

BSL Combined 1 Free Revision Test SAIL JO E-0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers