In the given figure- - B A C- C A D and B C-D C- find the length of A B -A- 5 cmB- 6 cmC- 4 cmD- None of the above

The correct option is A 5cmGiven, nbsp;∠BAC = nbsp;∠CAD nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; BC = DC, nbsp; nbsp; a ...

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Byju's Answer

Standard VIII

Mathematics

Congruency Postulates

In the given ...

Question

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

6cm

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5cm

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4cm

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None of the above

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Solution

The correct option is B 5cm
Given, ∠BAC = ∠CAD
BC = DC,
and side AC is common
$\Rightarrow$ ∆ ABC ≅ ∆ ADC (By SAS test)
$\Rightarrow$ AD = AB (corresponding parts of congruence triangle)
$\Rightarrow$ AD = AB 5 cm.

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

The correct option is B 5cmGiven, ∠BAC = ∠CAD BC = DC, and side AC is common ⇒ ∆ ABC ≅ ∆ ADC (By SAS test) ⇒ AD = AB (corresponding parts of congruence triangle) ⇒AD = AB 5 cm.

The correct option is B 5cm
Given, ∠BAC = ∠CAD
BC = DC,
and side AC is common
$\Rightarrow$ ∆ ABC ≅ ∆ ADC (By SAS test)
$\Rightarrow$ AD = AB (corresponding parts of congruence triangle)
$\Rightarrow$ AD = AB 5 cm.