Question

17 in the figure, if angleACB = angleCDA, AC=6 cm and AD= 3 cm. then find the length of AB.

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Answer 1

Given :-

• In triangle ABC,

• ∠ ACB = ∠ CDA

• AC = 6cm

• AD = 3 cm

To Find :-

• Length of AB.

CALCULATION :-

In triangle ABC and triangle ADC

• ∠ ACB = ∠ CDA [GIVEN]

• ∠ CAB = ∠ CAD [COMMON]

• ⟼ ∆ACB ~ ∆ADC [AA SIMILARITY]

$\rm :\implies\:\dfrac{AC}{AD} = \dfrac{AB}{AC}$

$\rm :\implies\:\dfrac{6}{3} = \dfrac{AB}{6}$

$\rm :\implies\:AB \: = \: 12 \: cm$

Answer 2

Answer:

Given :-

In triangle ABC,

∠ ACB = ∠ CDA

AC = 6cm

AD = 3 cm

To Find :-

Length of AB.

CALCULATION :-

In triangle ABC and triangle ADC

∠ ACB = ∠ CDA [GIVEN]

∠ CAB = ∠ CAD [COMMON]

⟼ ∆ACB ~ ∆ADC [AA SIMILARITY]

\rm :\implies\:\dfrac{AC}{AD} = \dfrac{AB}{AC}:⟹ADAC=ACAB

\rm :\implies\:\dfrac{6}{3} = \dfrac{AB}{6}:⟹36=6AB

\rm :\implies\:AB \: = \: 12 \: cm:⟹AB=12cm

hello Andrew bhai, kaisa ho aap ?