Question

triangle ABC is similar to triangle DEF are of triangle ABC=64cmsquare and area of triangle DEF =121 cm square .if EF=15.4 find BC​

Answer 1

Answer

△ABC∼△DEF

⟹

Ar(ΔDEF)

Ar(ΔABC)

=(

EF

BC

)

2

121

64

=(

15.4

BC

)

2

BC=

121

64

×15.4

BC=

11

8

×15.4=11.2cm

Answer 2

Answer:

• Length of BC is 11.2 cm.

Step-by-step explanation:

Given

• ΔABC ~ ΔDEF
• ar(ΔABC) = 64 cm²
• ar(ΔDEF) = 121 cm²
• EF = 15.4 cm

To find

• BC

Solution

• ar(ΔABC)/ar(ΔDEF) = (BC/EF)²
• (64/121) = (BC/15.4)²
• 8/11 = BC/15.4
• BC = 8 × 15.4/11
• BC = 11.2

∴ BC = 11.2 cm.