≈ 4.7 mm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side , then
x² + 5.2² = 7²
x² + 27.04 = 49 ( subtract 27.04 from both sides )
x² = 21.96 ( take square root of both sides )
x = [tex]\sqrt{21.96}[/tex] ≈ 4.7 mm ( to the nearest tenth )