Question

Can someone help me please

Answer 1

Answer:

TQ = 10$\sqrt{2}$

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 = $\sqrt{200}$ = $\sqrt{100(2)}$ = $\sqrt{100}$ × $\sqrt{2}$ = 10$\sqrt{2}$