Answer:
x ≈ 7.7
Step-by-step explanation:
Using Pythagoras' identity on the right triangle on the right side
let the third side be y , then
y² + 4² = 10²
y² + 16 = 100 ( subtract 16 from both sides )
y² = 84
Using Pythagoras' identity on the right triangle on the left side
x² + 5² = y²
x² + 25 = 84 ( subtract 25 from both sides )
x² = 59 ( take the square root of both sides )
x = [tex]\sqrt{59}[/tex] ≈ 7.7 ( to the nearest tenth )
