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Standard X

Mathematics

SAS Similarity

ABC is a tria...

Question

ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm, then AE equal to -

1.4 cm

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1.8 cm

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1.2 cm

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1.05 cm

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Solution

The correct options are
A
1.4 cm

D
1.05 cm

$\frac{A D}{A B}$ = $\frac{A E}{A C}$ $\Rightarrow$ $\frac{2.1}{3.6}$ = $\frac{A E}{2.4}$

AE = $\frac{2.1 \times 2.4}{3.6}$ = 1.4 cm.

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Similar questions

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In triangle ABC, points D and E lie on sides AB and AC respectively such that DE is parallel to BC.

If AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm, then AE is equal to ____.

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ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm, then AE equal to -

The correct options are A 1.4 cm D 1.05 cm ADAB = AEAC ⇒ 2.13.6 = AE2.4 AE = 2.1×2.43.6 = 1.4 cm.

The correct options are
A
1.4 cm

D
1.05 cm

$\frac{A D}{A B}$ = $\frac{A E}{A C}$ $\Rightarrow$ $\frac{2.1}{3.6}$ = $\frac{A E}{2.4}$

AE = $\frac{2.1 \times 2.4}{3.6}$ = 1.4 cm.