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, [tex]\frac{A B}{B C}=\frac{A E}{E D}[/tex]
[tex]\Rightarrow \frac{10}{x}=\frac{15}{3}[/tex]
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.
