In the given figure if DE-BC-2-3 and AE - 10 cm then AB is

The correct option is B 15 cmIn the given figure if nbsp; DE/BC=2/3 nbsp;and AE = 10 cmThen ratio of opposite side of both triangle are same nbsp;So ...

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Standard IX

Mathematics

Equal Intercept Theorem

In the given ...

Question

In the given figure if $\frac{D E}{B C} = \frac{2}{3}$ and AE = 10 cm then AB is ______

16 cm

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12 cm

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15 cm

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18 cm

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Solution

The correct option is B 15 cm
In the given figure if $\frac{D E}{B C} = \frac{2}{3}$ and AE = 10 cm
Then ratio of opposite side of both triangle are same
So $\frac{A E}{A B} = \frac{D E}{B C}$
Put the value $\frac{10}{A B} = \frac{2}{3}$
Or 2AB=30
Or AB=15 cm

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In the given figure if DEBC=23 and AE = 10 cm then AB is ______

The correct option is B 15 cmIn the given figure if DEBC=23 and AE = 10 cmThen ratio of opposite side of both triangle are same So AEAB=DEBCPut the value 10AB=23Or 2AB=30Or AB=15 cm

In the given figure if $\frac{D E}{B C} = \frac{2}{3}$ and AE = 10 cm then AB is ______

The correct option is B 15 cm
In the given figure if $\frac{D E}{B C} = \frac{2}{3}$ and AE = 10 cm
Then ratio of opposite side of both triangle are same
So $\frac{A E}{A B} = \frac{D E}{B C}$
Put the value $\frac{10}{A B} = \frac{2}{3}$
Or 2AB=30
Or AB=15 cm