Question

Can someone help me please

Answer 1

TQ = 10
`√(2)`

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 =
`√(200)` =
`√(100(2))` =
`√(100)` ×
`√(2)` = 10
`√(2)`