What is the area of the square adjacent to the third side of the triangle? If known could u answer the other as well ?

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), is the side length of the pink square and is the side length of the green square.

That means a = and b = , so...

35 + 50 = c^2

85 = c^2

Now we need to square the square root of 85 to find the area of the blue square.

85 units^2 = Area of Blue Square

To solve the other question we use the same formula again.

x = 5 units

x=9

step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .