Answer:
x = 5√2
Step-by-step explanation:
You have a right triangle, so you can use Pythagoras theorem to calculate the value of x.
x² = a² + b² = x²
If a is the base of the triangle, then
a = x₂ - x₁ = 7 - 2 = 5
If b is the height of the triangle, then
b = y₂ - y₁ = 8 - 3 = 5
x² = 5² + 5² = 2 × 5²
x = √(2 × 5²) = √2 × 5
x = 5√2
