If ∆ABC ∼ ∆DEF such that AB = 5 cm, area (∆ABC) = 20 cm² and area (∆DEF) = 45 cm², determine DE.

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Solution

Given: The area of two similar ΔABC = 20cm², ΔDEF = 45cm² respectively and AB = 5cm.

To find: measure of DE

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

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Similar questions

Q. If

△ A B C \sim △ D E F

such that AB = 5 cm, area

(△ A B C) = 20 {c m}^{2}

and area

(△ D E F) = 45 {c m}^{2}

, determine DE.

Q. Triangles ABC and DEF are similar.

(i) If area (∆ABC) = 16 cm², area (∆DEF) = 25 cm² and BC = 2.3 cm, find EF.
(ii) If area (∆ABC) = 9 cm², area (∆DEF) = 64 cm² and DE = 5.1 cm , find AB.
(iii) If AC = 19 cm and DF = 8 cm, find the ratio of the area of two triangles.
(iv) If area (∆ABC) = 36 cm², area (∆DEF) = 64 cm² and DE = 6.2 cm, find AB.
(v) If AB = 1.2 cm and DE = 1.4 cm, find the ratio of the areas of ∆ABC and ∆DEF.

Q. ∆ABC ∼ ∆DEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF is 25 cm, what is the perimeter of ∆ABC?
(a) 35 cm
(b) 28 cm
(c) 42 cm
(d) 40 cm

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]

Trinagles ABC and DEF are similar.
(i) If area $(Δ A B C) = 16 c m^{2}, a r e a (Δ D E F) = 25 c m^{2}$ and BC = 2.3 cm find EF.
(ii) If area $(Δ A B C) = 9 c m^{2}, a r e a (Δ D E F) = 64 c m^{2}$ and DE=5.1 cm, find AB.
(iii) If AC = 19 cm adn DF = 8 cm, find the ratio of the area of two triangles.
(iv) If area $(Δ A B C) = 36 c m^{2}$ , are $(Δ D E F) = 64 c m^{2}$ and DE= 6.2 cm, find AB.
(v) If AB = 1.2 cm and DE=1.4 cm, find the ratio of the areas of $Δ A B C$ and $Δ D E F$ .

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If ∆ABC ∼ ∆DEF such that AB = 5 cm, area (∆ABC) = 20 cm2 and area (∆DEF) = 45 cm2, determine DE.

Given: The area of two similar ΔABC = 20cm2, ΔDEF = 45cm2 respectively and AB = 5cm. To find: measure of DE We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides.

If ∆ABC ∼ ∆DEF such that AB = 5 cm, area (∆ABC) = 20 cm² and area (∆DEF) = 45 cm², determine DE.

Given: The area of two similar ΔABC = 20cm², ΔDEF = 45cm² respectively and AB = 5cm.

To find: measure of DE

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