Question

plz answer question i will gift you alok​

Answer 1

Answer:

17.5

Step-by-step explanation:

Answer 2

$\huge\purple{Required \: Answer :}$

Answer:

$\huge{(a) 17.5 \: cm}$

Step-by-step explanation:

Given :-

AD - 14 cm

DE - 12 cm

BC - 15 cm

Solution :-

In ∆ ADE and ∆ ACB, DE || CB,

Therefore,

<ADE = <ACB,

<AED = <ABC,

<A = <A,

Hence, ∆ADE ~ ∆ACB (AAA similarity test)

Therefore,

$\frac{</em><em>A</em><em>D</em><em>}{</em><em>A</em><em>C</em><em>} = \frac{</em><em>D</em><em>E</em><em>}{</em><em>C</em><em>B</em><em>}$

$\frac{14}{</em><em>A</em><em>C</em><em>} = \frac{12}{15} \\ \\ </em><em>AC</em><em> = \frac{15 \times 14}{12} \\ \\ </em><em>AC</em><em> = \frac{5 \times 14}{4} \\ \\ </em><em>AC</em><em> = \frac{5 \times 7}{2} \\ \\ </em><em>AC</em><em> = \frac{35}{2} \: \: \: \: \: \\ \\ </em><em>AC</em><em> = 17.5 \: \: \: \: \:$

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$\huge{Thanks}$