If - ABC - DEF - BC-3 cm EF-4 cm and area of - ABC - 54cm2 then find the area of - DEF-

Δ ABC ∼Δ DEF Ar (Δ ABC)Ar(Δ DEF) = (BCEF)^2 54Ar (Δ DEF) = 3 × 34 × 4 Ar (Δ DEF) = 6 × 16 #160; #160; #160; #160; #160; #1 ...

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Standard VII

Mathematics

Triangle

If Δ ABC ∼Δ...

Question

If $Δ A B C \sim Δ D E F$ , $B C = 3 c m$ $E F = 4 c m$ and area of $Δ A B C = 54 c m^{2}$ then find the area of $Δ D E F$ ?

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Solution

$Δ A B C \sim Δ D E F$

$\frac{A r (Δ A B C)}{A r (Δ D E F)} = {(\frac{B C}{E F})}^{2}$

$\frac{54}{A r (Δ D E F)} = \frac{3 \times 3}{4 \times 4}$

$A r (Δ D E F) = 6 \times 16$

$= 96 c m^{2}$

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Similar questions

If $Δ A B C$ is similar to $Δ D E F$ such that BC = 3 cm, EF = 4 cm and area of $Δ A B C = 54 {c m}^{2}$ . Determine the area of $Δ D E F$ . [4 MARKS]

Q. Given that

Δ A B C \sim Δ D E F, B C = 3 c m, E F = 4 c m

ans the area of

Δ A B C

54 s q . c m .

Then find the area of

Δ D E F .

Q. ∆ABC ∼ ∆DEF. If BC = 3 cm, EF = 4 cm and ar(∆ABC) = 54 cm², then ar(∆DEF) =

(a) 108 cm²
(b) 96 cm²
(c) 48 cm²
(d) 100 cm²

Δ A B C \sim Δ D E F

, area of

Δ A B C = 64 c m^{2}

and area of

Δ D E F = 121 c m^{2}

. If

E F = 15.4 c m

, find

B C

Q. If

Δ A B C \sim Δ D E F

such that area of

Δ A B C

9 c m^{2}

and area of

Δ D E F

16 c m^{2}

and

B C = 1.8 c m

, then EF is

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If ΔABC∼ΔDEF ,BC=3cm EF=4cm and area of ΔABC=54cm2 then find the area of ΔDEF?

ΔABC∼ΔDEFAr(ΔABC)Ar(ΔDEF)=(BCEF)254Ar(ΔDEF)=3×34×4Ar(ΔDEF)=6×16 =96cm2

If $Δ A B C \sim Δ D E F$ , $B C = 3 c m$ $E F = 4 c m$ and area of $Δ A B C = 54 c m^{2}$ then find the area of $Δ D E F$ ?

$Δ A B C \sim Δ D E F$

$\frac{A r (Δ A B C)}{A r (Δ D E F)} = {(\frac{B C}{E F})}^{2}$

$\frac{54}{A r (Δ D E F)} = \frac{3 \times 3}{4 \times 4}$

$A r (Δ D E F) = 6 \times 16$

$= 96 c m^{2}$