Answer:
[tex]x= 7, y=4\sqrt{2}[/tex]
Correct option B.
Step-by-step explanation:
The diagram shows a trapezoid with a base angle of 45° and the other base angle of 90°.
We have completed the diagram to draw a perpendicular line over the base of height h=4. A triangle is formed with an angle of 45°.
Recall a right triangle with angles of 45° is isosceles, thus the base and the height are h=4. Please check the diagram below.
For that triangle, we apply Pythagora's Theorem:
[tex]y^2=4^2+4^2=2*4^2[/tex]
Thus:
[tex]y=\sqrt{2*4^4}=4\sqrt{2}[/tex]
[tex]y=4\sqrt{2}[/tex]
The base of the trapezoid x is h + 3 = 7
Thus:
[tex]\mathbf{x= 7, y=4\sqrt{2}}[/tex]
Correct option B.
