In the given figure AB - DC and AD - 5 cm- Find BC-5 cm4 cm3 cm6 cm

The correct option is A 5 cmIn ABC and ADC, nbsp; AB = DC (given) AC = AC (common side hypotenuse) ∠ B=∠ D = 90^∘ ∴ ABC ≅ ADC by RHS criterion. Therefor ...

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Standard VII

Mathematics

RHS Congruence Criterion

In the given ...

Question

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

5 cm

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4 cm

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3 cm

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6 cm

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Solution

The correct option is A 5 cm
In $△ A B C$ and $△ A D C$ ,

AB = DC (given)

AC = AC (common side-hypotenuse)

$∠ B$ = $∠ D = 90^{\circ}$

$∴ △ A B C ≅ △ A D C$ by RHS criterion.
Therefore, BC = AD = 5 cm ..... (corresponding parts of congruent triangle)

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Similar questions

In a $Δ A B C$ , AD is the bisector of $∠ A$ , meeting side BC at D.
(i) If BD= 2.5 cm, AB = 5 cm and AC = 4.2 cm, find DC.
(ii) If BD= 2 cm, AB = 5 cm and DC = 3 cm, find AC.
(iii) If AB= 3.5 cm, AC = 4.2 cm and DC = 2.8 cm, find BD.
(iv) If AB =10 cm, AC =14 cm and BC = 6 cm, find BD and DC.
(v) If AC = 4.2 cm, DC = 6 cm and BC = 10 cm, find AB.
(vi) If AD= 5.6 cm, AC = 6 cm and DC = 3 cm, find BC.
(vii) If AB= 3.6 cm, BC e 6 cm and BD = 32 cm, find AC.
(viii) If AB =10 cm, AC = 6 cm and BC = 12 cm, find BD and DC

IN the figure, ABCD is a trapezium in Which AB = 7 cm, AD = BC = 5 cm, DC = x cm, and distance between AB and DC is 4 cm.
Find the value fo x and area of trapezium ABCD.

In the adjoining figure,ABCD is a trapezium in which AB||DC;AB=7 cm;AD=BC=5 cm and the distance between AB and DC is 4 cm.Find the length of DC and hence,find the area of trap,ABCD.

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

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

The correct option is A 5 cmIn △ABC and △ADC, AB = DC (given) AC = AC (common side-hypotenuse) ∠B=∠D=90∘ ∴△ABC≅△ADC by RHS criterion. Therefore, BC = AD = 5 cm ..... (corresponding parts of congruent triangle)

The correct option is A 5 cm
In $△ A B C$ and $△ A D C$ ,

AB = DC (given)

AC = AC (common side-hypotenuse)

$∠ B$ = $∠ D = 90^{\circ}$

$∴ △ A B C ≅ △ A D C$ by RHS criterion.
Therefore, BC = AD = 5 cm ..... (corresponding parts of congruent triangle)