Answer:
TQ = 10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The diagonal divides the square into 2 right triangles with the diagonal being the hypotenuse.
Using Pythagoras' identity in triangle TPQ
TQ² = PQ² + PT²
TQ² = 10² + 10² = 100 + 100 = 200 ( take square root of both sides )
TQ = [tex]\sqrt{200}[/tex] = [tex]\sqrt{100(2)}[/tex] = [tex]\sqrt{100}[/tex] × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex]
