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Standard X

Mathematics

Relation between Areas and Sides of Similar Triangles

In Δ ABC and ...

Question

In ∆ABC and ∆DEF, it is being given that: AB = 5 cm, BC = 4 cm and CA = 4.2 cm; DE = 10 cm, EF = 8 cm and FD = 8.4 cm. If AL ⊥ BC and DM ⊥ EF, find AL : DM.

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Solution

It is given that ,,,, and .

We have to find

Since both triangle are similar

So,

Here, we use the result that in similar triangle the ratio of corresponding altitude is same as the ratio of the corresponding sides.

∴ AL : DM = 1 : 2

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Q. If ∆ABC and ∆DEF are similar such that 2AB = DE and BC = 8 cm, then EF =

(a) 16 cm
(b) 12 cm
(c) 8 cm
(d) 4 cm

Q. In

△ A B C

and

△ D E F,

it is given that

A B = 5

cm,

B C = 4

cm,

C A = 4.2

cm,

D E = 10

cm,

E F = 8

cm and

F D = 8.4

cm. If

A L

is perpendicular to

B C

and

D M

is perpendicular to

E F,

then what is the ratio of

A L

D M

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In ∆ABC and ∆DEF, it is being given that: AB = 5 cm, BC = 4 cm and CA = 4.2 cm; DE = 10 cm, EF = 8 cm and FD = 8.4 cm. If AL ⊥ BC and DM ⊥ EF, find AL : DM.

It is given that ,,,, and . We have to find Since both triangle are similar So, Here, we use the result that in similar triangle the ratio of corresponding altitude is same as the ratio of the corresponding sides. ∴ AL : DM = 1 : 2

It is given that ,,,, and .

We have to find

Since both triangle are similar

So,

Here, we use the result that in similar triangle the ratio of corresponding altitude is same as the ratio of the corresponding sides.

∴ AL : DM = 1 : 2