In the given figure- - B A C- C A D and B C-D C- find the length of A B-A- 7 cmB- 5 cmC- 3 cmD- None of the above-

The correct options are B 5cm Given, nbsp;∠BAC = nbsp;∠CAD and BC = DC, Side AC is common ⇒ ∆ ABC ≅ ∆ ADC nbsp; nbsp; nbsp;(By SAS test) ⇒ AD = AB = ...

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Standard VIII

Mathematics

Congruency Postulates

In the given ...

Question

In the given figure, ∠BAC = ∠CAD and BC = DC, find the length of AB.

7cm

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5cm

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3cm

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None of the above.

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Solution

The correct option is B 5cm

Given, ∠BAC = ∠CAD and BC = DC, Side AC is common
$\Rightarrow$ ∆ ABC ≅ ∆ ADC (By SAS test)
$\Rightarrow$ AD = AB = 5 cm.

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Q. In the given figure AB = DC and AD = 5 cm. Find BC.

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In the given figure, ∠BAC = ∠CAD and BC = DC, find the length of AB.

The correct option is B 5cm Given, ∠BAC = ∠CAD and BC = DC, Side AC is common ⇒ ∆ ABC ≅ ∆ ADC (By SAS test) ⇒ AD = AB = 5 cm.

The correct option is B 5cm

Given, ∠BAC = ∠CAD and BC = DC, Side AC is common
$\Rightarrow$ ∆ ABC ≅ ∆ ADC (By SAS test)
$\Rightarrow$ AD = AB = 5 cm.