Answer:
x = 2
y = 15
Step-by-step explanation:
As the triangle is split with a line that is parallel to the base:
[tex]\implies x:6=6:18[/tex]
[tex]\implies \dfrac{x}{6}=\dfrac{6}{18}[/tex]
[tex]\implies x=\dfrac{6\cdot 6}{18}[/tex]
[tex]\implies x=\dfrac{36}{18}[/tex]
[tex]\implies x=2[/tex]
Similarly:
[tex]\implies y:20=6 : (6+x)[/tex]
[tex]\implies y:20=6:8[/tex]
[tex]\implies \dfrac{y}{20}=\dfrac68[/tex]
[tex]\implies y=\dfrac{6 \cdot 20}{8}[/tex]
[tex]\implies y=\dfrac{120}{8}[/tex]
[tex]\implies y=15[/tex]
