If AD-2-5 cm-BD-3-0 cm and AE-3-75 cm- the length of AC-

IfDE-x2225-BCthen-x21D2-ADAB-AEAC-x21D2-2-5-2-5-3-3-75AC-x21D2-AC-3-75-xD7-5-52-5-8-25cm

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Standard VIII

Mathematics

Question

If $A D = 2.5 c m, B D = 3.0 c m$ and $A E = 3.75 c m$ , find the length of $A C$ .

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Solution

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$\begin{matrix} I f D E ∥ B C t h e n, \Rightarrow \frac{A D}{A B} = \frac{A E}{A C} \Rightarrow \frac{2.5}{(2.5 + 3)} = \frac{3.75}{A C} \Rightarrow A C = \frac{3.75 \times 5.5}{2.5} = 8.25 c m \end{matrix}$

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Similar Questions

A D = 2.5 c m, B D = 3.0 c m

and

A E = 3.75 c m

, find the length of

A C

View Solution

In a

Δ A B C

D

and

E

are points on the sides

A B

and

A C

respectively such that

D E | | B C

.
If

A D = 2.5 c m, B D = 3.0 c m

and

A E = 3.75 c m

, find the length of

A C

View Solution

In a ∆ABC, D and E are points on the sides AB and AC respectively such that DE || BC.

(i) If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC.
(ii) If

\frac{AD}{DB} = \frac{3}{4}

and AC = 15 cm, find AE.
(iii) If

\frac{AD}{DB} = \frac{2}{3}

and AC = 18 cm, find AE.
(iv) If AD = 4, AE = 8, DB = x − 4, and EC = 3x − 19, find x.
(v) If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE.
(vi) if AD = 4 cm, DB = 4.5 cm and AE = 8 cm, find AC.
(vii) If AD = 2 cm, AB = 6 cm, and AC = 9 cm, find AE.
(viii) If

\frac{AD}{BD} = \frac{4}{5}

and EC = 2.5 cm, find AE.
(ix) If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, find the value of x.
(x) If AD = 8x − 7, DB = 5x − 3, AE = 4x − 3 and EC = (3x − 1), find the value of x.
(xi) If AD = 4x − 3, AE = 8x − 7, BD = 3x − 1 and CE = 5x − 3. find the volume x.
(xii) If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm find the length of AC.

View Solution

In a \Delta ABC, D and E are points on the sides AB and AC respectively such that DE||BC.
(i) If AD = 6cm, DB = 9 cm and AE = 8 cm, find AC.
(ii) If $\frac{A D}{D B} = \frac{3}{4}$ and AC = 15 cm, find AE.
(iii) If $\frac{A D}{D B} = \frac{2}{3}$ and AC = 18 cm, find AE.
(iv) If AD = 4, AE=8, DB =x-4, and EC = 3x - 19 find x
(v) If AD = 8 cm, AB=12 cm and AE = 12 cm, finde CE.
(vi) If ad = 4 CM, db = 4.5 cm and AE = 8 cm, find AC
(vii) If AD = 2 cm, AB = 6 cm and AC = 9cm, find AE.
(viii) If $\frac{A D}{B D} = \frac{4}{5}$ and 3C = 2.5 cm, find AE.
(ix) If AC=x, DB=x-2, AE=x+2 and EC=x-1, find the value of x.
(x) If AD= 8x -7. DB= 5x-3, AE=4x-3 and EC= (3x-1), find the value of x.
(xi) If AD= 4x-3, AE=8x -7, BC=3x-1 and CE=5x-3, find the value x.
(xii) If AD=2.5 cm, BD= =3.0 cm and AE=3.75 cm, find the length of AC.

View Solution

In a

Δ A B C

D

and

E

are points on the sides

A B

and

A C

respectively such that

D E | | B C

.
If

\frac{A D}{B D} = \frac{4}{5}

and

E C = 2.5 c m

, find

A E

View Solution

If AD=2.5 cm,BD=3.0 cm and AE=3.75 cm, find the length of AC.

IfDE∥BCthen,⇒ADAB=AEAC⇒2.5(2.5+3)=3.75AC⇒AC=3.75×5.52.5=8.25cm

If $A D = 2.5 c m, B D = 3.0 c m$ and $A E = 3.75 c m$ , find the length of $A C$ .

$\begin{matrix} I f D E ∥ B C t h e n, \Rightarrow \frac{A D}{A B} = \frac{A E}{A C} \Rightarrow \frac{2.5}{(2.5 + 3)} = \frac{3.75}{A C} \Rightarrow A C = \frac{3.75 \times 5.5}{2.5} = 8.25 c m \end{matrix}$