Find the value of y and
simplify completely.
y =
?

y=9.01

Step-by-step explanation:

In this question you apply the Pythagoras Theorem to generate relationships which will enable you to form equations and solve for the unknown.

The Pythagoras Theorem states that when you have a right-angle triangle and squares are made at each of the three sides, the sum of squares of the two small sides will equal the square of the longest side.

It is expressed as a²+b²=c² where;

In the question we can use three triangles to form expressions using this theorem

First triangle

The relationship you can form is;

In this equation you make y² the subject of the formula

Second Triangle

Hence the relationship you can form is

In this equation you make y² the subject of the formula

Third Triangle

The relationship you can form is;

Here x² is the subject of the formula

Equations

Substitute equation 3 in equation 2

Substitute equation 4 in equation 1

Use the value of z in equation 1 to get value of y