# If ∆Abc and ∆Def Are Similar Such that 2ab = De and Bc = 8 Cm, Then Ef = (A) 16 Cm (B) 12 Cm (C) 8 Cm (D) 4 Cm - Mathematics

MCQ

If ∆ABC and ∆DEF are similar such that 2AB = DE and BC = 8 cm, then EF =

• 16 cm

• 12 cm

• 8 cm

• 4 cm

#### Solution

Given: ΔABC and ΔDEF are similar triangles such that 2AB = DE and BC = 8 cm.

To find: EF

We know that if two triangles are similar then there sides are proportional.

Hence, for similar triangles ΔABC and ΔDEF

(AB)/(DE)=(BC)/(EF)=(CA)/(FD)

(AB)/(DE)=(BC)/(EF)

1/2=8/(EF)

EF= 16cm
Hence the correct answer is a.

Concept: Triangles Examples and Solutions
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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 5 | Page 132