- ABC - DEF- If BC -3 cm - EF -4 cm and ar- ABC -54 cm 2- then ar- DEF -a 108 cm 2b 96 cm 2c 48 cm 2d 100 cm 2

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Byju's Answer

Standard X

Mathematics

Relation between Areas and Sides of Similar Triangles

Δ ABC ∼Δ DEF....

Question

∆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

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Solution

Given: In Δ ABC and Δ DEF

To find: Ar(Δ DEF)

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

Hence the correct answer is

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Similar questions

Q. Let

Δ A B C \sim Δ D E F

. If

a r (Δ A B C) = 100 {c m}^{2}, a r (Δ D E F) = 196 {c m}^{2}

and

D E = 7 c m

, then find

A B

Q. ∆ABC ∼ ∆DEF, ar(∆ABC) = 9 cm², ar(∆DEF) = 16 cm². If BC = 2.1 cm, then the measure of EF is

(a) 2.8 cm
(b) 4.2 cm
(c) 2.5 cm
(d) 4.1 cm

Q. 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

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. ∆ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. If ∆DEF ∼ ∆ABC and EF = 4 cm, then perimeter of ∆DEF is

(a) 7.5 cm
(b) 15 cm
(c) 22.5 cm
(d) 30 cm

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∆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

Given: In Δ ABC and Δ DEF To find: Ar(Δ DEF) We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides. Hence the correct answer is

∆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

Given: In Δ ABC and Δ DEF

To find: Ar(Δ DEF)

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

Hence the correct answer is