Question

Solve for x and y: Thanks for the help!

Answer 1

Answer:

x = 2

y = 15

Step-by-step explanation:

As the triangle is split with a line that is parallel to the base:

$\implies x:6=6:18$

$\implies \dfrac{x}{6}=\dfrac{6}{18}$

$\implies x=\dfrac{6\cdot 6}{18}$

$\implies x=\dfrac{36}{18}$

$\implies x=2$

Similarly:

$\implies y:20=6 : (6+x)$

$\implies y:20=6:8$

$\implies \dfrac{y}{20}=\dfrac68$

$\implies y=\dfrac{6 \cdot 20}{8}$

$\implies y=\dfrac{120}{8}$

$\implies y=15$

Answer 2

Answer:

x= 5.18

y= 16.97

Step-by-step explanation:

Solve Y first-

trigonometric theorems-

$c^2 =a^2 + b^2\\\\b^2 =c^2 - a^2$

$y^2 =18^2-6^2 \\y^2 =324 - 36\\y^2= 288\\\sqrt{2} = \sqrt{288} \\ y=16.97$

solve x-

20-16.97=3.03

x=5.18

(I'm not sure if the answers are correct. I tried my best. I was confused to solve x though. )