Question

Solve for x and y:
Thanks for the help!

Answer 1

x= 5.18

y= 16.97

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\\√(2) = √(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. )

Answer 2

x = 2

y = 15

Explanation:

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

`\implies x:6=6:18`

`\implies (x)/(6)=(6)/(18)`

`\implies x=(6\cdot 6)/(18)`

`\implies x=(36)/(18)`

`\implies x=2`

Similarly:

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

`\implies y:20=6:8`

`\implies (y)/(20)=\frac68`

`\implies y=(6 \cdot 20)/(8)`

`\implies y=(120)/(8)`

`\implies y=15`