If - ABC and - DEF are two triangles such that ABDE - BCEF - CAFD -34- then write Area - ABC - Area - DEF

You visited us 67 times! Enjoying our articles? Unlock Full Access!

Relation between Areas and Sides of Similar Triangles

If Δ ABC and ...

Question

If ∆ABC and ∆DEF are two triangles such that $\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD} = \frac{3}{4}$ , then write Area (∆ABC) : Area (∆DEF)

Open in App

Solution

GIVEN: ΔABC and ΔDEF are two triangles such that .

TO FIND:

We know that two triangles are similar if their corresponding sides are proportional.

Here, ΔABC and ΔDEF are similar triangles because their corresponding sides are given proportional, i.e.

Since the ratio of the areas of two similar triangle is equal to the ratio of the squares of their corresponding sides.

Suggest Corrections

Similar questions

Q. If ∆ABC and ∆DEF are two triangles such that

\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD} = \frac{2}{5}

, then Area (∆ABC) : Area (∆DEF) =

(a) 2 : 5
(b) 4 : 25
(c) 4 : 15
(d) 8 : 125

$Δ A B C \sim Δ D E F$ such that ar $(Δ A B C)$ = 64 $c m^{2}$ and ar $(Δ D E F) = 169 c m^{2}$ . If BC = 4 cm, find EF.

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]

If $Δ A B C \sim Δ D E F$ such that AB = 1.2 cm and DE = 1.4 cm . Find the ratio of area of $Δ A B C$ and $Δ D E F$ . [4 MARKS]

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

Join BYJU'S Learning Program

If ∆ABC and ∆DEF are two triangles such that ABDE=BCEF=CAFD=34, then write Area (∆ABC) : Area (∆DEF)

If ∆ABC and ∆DEF are two triangles such that $\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD} = \frac{3}{4}$ , then write Area (∆ABC) : Area (∆DEF)