Question

The answer choices are A.)x=12 and y=21.6B.)x=8 and y=26C.)x=12 and y=30D.)x=8 and y =19.7

Answer 1

We have two right triangles, in order to find the missing sides we will use the Pythagorean Theorem

`c^2=a^2+b^2`

For the little one we have

c=20

a=16

b=x

we substitute the values

`20^2=16^2+x^2`

we isolate the x

`x=\sqrt[]{20^2-16^2}`
`x=12`

Then for the bigger triangle

c=y

a=18

b=12

we substitute the variables

`y^2=18^2+12^2`

we isolate the y

`y=\sqrt[]{18^2+12^2}`
`y=21.6`

As we can see the correct choice is A. x=12 and y=21.6