△ABC is such thatAB=3 cm,BC=2 cm and CA=2.5 cm. △

Question

$△ A B C$ is such that $A B = 3 c m, B C = 2 c m$ and $C A = 2.5 c m$ . $△ D E F$ is similar to $△ A B C$ . If $E F = 4 c m$ , then the perimeter of $△ D E F$ is ____.

Options:

A . 7.5 cm

B . 15 cm

C . 22.5 cm

D . 30 cm

Answer: Option B
:
B

$\frac{A B}{D E}$ = $\frac{A C}{D F}$ = $\frac{B C}{E F}$ = $\frac{2}{4}$ = $\frac{1}{2}$

$D E = 2 \times A B = 6 c m, D F = 2 \times A C = 5 c m$ .

$∴$ $Perimeter of Δ D E F = (D E + E F + D F)$
$= 6 + 4 + 5 = 15 c m$ .

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB=3.6 cm,AC=2.4 cm and AD=2.....D and E. If AB=3.6 cm,AC=2.4 cm and AD=2.1 cm, then AE = ______.

Question 2. In the adjoining figure, if BC=a,AC=b,AB=c and ∠CAB=120∘,then which of the following is the correct relation?....

Question 3. 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 ___. ....

Question 4. 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 5. In below shown figure, PSSQ= PTTR and∠PST= ∠PRQ. Then ΔPQR is a/an __ triangle.....

Question 6. 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 7. 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 8. Find the ratio of area of the equilateral triangles whose sides are 3 and 4 units. ....

Question 9. 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 10. 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:

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