Question

Some one please help me this question. No spam please ​

Answer 1

Answer:

8.25 cm and 12.5 cm

Step-by-step explanation:

Given a line parallel to a side of the triangle and it intersects the other two sides, then it divides those sides proportionally, that is

(i)

$\frac{AD}{DB}$ = $\frac{AE}{EC}$ , substitute values

$\frac{2.5}{3}$ = $\frac{3.75}{EC}$ ( cross- multiply )

2.5 EC = 11.25 ( divide both sides by 2.5 )

EC = 4.5 cm

Then

AC = AE + EC = 3.75 + 4.5 = 8.25 cm

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(ii)

Similarly

$\frac{AD}{DB}$ = $\frac{AE}{EC}$ , substitute values

$\frac{3.6}{10-3.6}$ = $\frac{4.5}{EC}$ , that is

$\frac{3.6}{6.4}$ = $\frac{4.5}{EC}$ ( cross- multiply )

3.6 EC = 28.8 ( divide both sides by 3.6 )

EC = 8 cm

and

AC = AE + EC = 4.5 + 8 = 12.5 cm