Question

The two triangles are similar.

Answer 1

Answer:

Labelled the diagram as shown below

Given triangle ABC and triangle CDE are similar.

by definition of similar triangle:

Corresponding sides are in proportion:

$\frac{AC}{DC} =\frac{BC}{CE}$

Here, AC = 8 units, DC =8+6 = 14 units, and BC = 2x-2 units and CE= 3x units.

Substitute these we have;

$\frac{8}{14} =\frac{2x-2}{3x}$

Simplify:

$\frac{4}{7} =\frac{2x-2}{3x}$

By cross multiply we have;

$12x = 7(2x-2)$

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

$12x = 14x-14$

Subtract 14x from both sides we get;

$-2x = -14$

Divide by b-2 to both sides we get;

x = 7

Therefore, the value of x is, 7

Answer 2

Find the scale factor then multiply the side that is the same way as X then you got your answer mate if you don't understand it I'm open to direct message.