Question

Who can solve this for me it's due next class period

Answer 1

`\begin{gathered} x\text{ = 12} \\ y\text{ = 12}\sqrt[]{2} \end{gathered}`

Here, we want to get the value of x

As we can see, we have the interior angle as 45;

The other is 90; and that means the last angle will be 45

This mean that we have an isosceles right-triangle

The sides that face the angles are equal

These sides are x and 12

That means x = 12

To get the value of y, we have to use the Pythagoras' theorem

The square of the hypotenuse (the longest side and the side that faces the right angle) is equal to the sum of the squares of the two other sides

The side facing the right angle is y

So, the sum of the squares of x and 12 will give the square of y

Mathematically, we have this as follows;

`\begin{gathered} y^2=12^2+x^2 \\ \sin ce\text{ x = 12} \\ y^2=12^2+12^2 \\ y^2\text{ = 144 + 144} \\ y^2\text{ = 288} \\ y\text{ = }\sqrt[]{288} \\ y\text{ = 12}\sqrt[]{\text{ 2}} \end{gathered}`