In the given figure, AD = BC. What is the length of AB if DC = 4 cm?

5 cm

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4 cm

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3 cm

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Can’t find

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Solution

The correct option is B
4 cm

In $Δ$ ABC and $Δ$ ADC, we have

AD = BC (given)
AC = AC (common side)
and $∠$ ADC = $∠$ ABC = 90 $^{\circ}$
Thus, $Δ$ ABC $≅$ $Δ$ ADC ... (RHS Postulate)

Therefore, AB = DC = 4 cm (corresponding parts of congruent triangles)

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In the given figure, AD = BC. What is the length of AB if DC = 4 cm?

The correct option is B 4 cm In ΔABC and ΔADC, we have AD = BC (given) AC = AC (common side) and ∠ADC = ∠ABC = 90∘ Thus, ΔABC ≅ ΔADC ... (RHS Postulate) Therefore, AB = DC = 4 cm (corresponding parts of congruent triangles)

The correct option is B
4 cm

In $Δ$ ABC and $Δ$ ADC, we have

AD = BC (given)
AC = AC (common side)
and $∠$ ADC = $∠$ ABC = 90 $^{\circ}$
Thus, $Δ$ ABC $≅$ $Δ$ ADC ... (RHS Postulate)

Therefore, AB = DC = 4 cm (corresponding parts of congruent triangles)