Question

Find the value of y.

Answer 1

`√(55)`

Explanation:

Based off of what we do know, if we can find length DB we can use the pythagorous theorem (I will be assigning the variable z)

`x^(2) =36+z^(2) \\\\y^(2)=25+z^2\\\\x^(2) +y^2=121\\\\`

First equation is for triangle ABD

Second is for BCD

And the last one is for ACD

Substitute
`x^(2)` and
`y^2`

`36+z^2+25+z^2=121\\\\61+2z^2=121\\\\2z^2=60\\\\z^2=30\\\\z=√(30)`

As discovered before

`y^2=25+z^2\\\\y^2=25+30\\\\y^2=55\\\\y=√(55)`