Question

The two triangles in the diagram are similar. There are 2 possible values of x.

I have managed to work out what x is but I’m not sure what to put in terms of the assumptions.

Answer 1

Answer:

x = 2

Step-by-step explanation:

Given data: The two triangles in the diagram are similar.

AB = 10 cm, AC = x cm, AE = 15 cm, AD = 3 cm

By similar triangles property, $\frac{A B}{B C}=\frac{A E}{E D}$  

$\Rightarrow \frac{10}{x}=\frac{15}{3}$  

Do cross multiply

⇒ 10 × 3 = 15 × x

⇒ 30 = 15x

⇒ 30 ÷15 = 15x ÷ 15 (By division property of equality)

⇒ x = 2

Hence, the possible value for x is 2.