Answer:
D. [tex]h=5\sqrt{2}[/tex]
Step-by-step explanation:
We have been given an image of a square. We are asked to find the diagonal of our given square.
We know that all angles of square are right angles and diagonal of square divides it in two congruent right triangles.
We will use Pythagoras theorem to solve for diagonal as:
[tex]\text{Hypotenuse}^2=\text{Leg}^2+\text{Perpendicular}^2[/tex]
[tex]h^2=5^2+5^2[/tex]
[tex]h^2=25+25[/tex]
[tex]h^2=50[/tex]
Upon taking square root of both sides of our equation, we will get:
[tex]h=\sqrt{50}[/tex]
[tex]h=\sqrt{2\times 25}[/tex]
[tex]h=5\sqrt{2}[/tex]
Therefore, the diagonal of our given square is [tex]5\sqrt{2}[/tex] and option D is the correct choice.
