Answer:
x = 8 units.
Step-by-step explanation:
We'll begin by calculating the length of the two squares attached to the triangle.
From the question given above, the areas of the two square are the same i.e 32 units². Therefore, the length of the two square will be the same.
Now, we shall determine the length of the square as follow:
Area of square (A) = 32 units²
Length (L) =?
Area of square (A) = Length (L) × Length (L)
A = L × L
A = L²
32 = L²
Take the square root of both side
L = √32 units
Therefore, the length of the square is √32 units. This implies that the length of both side of the triangle is √32 units
Now, we shall determine the value of x using pythagoras theory.
From the diagram above we can see that x is the Hypothenus i.e the longest side. Thus, the value of x can be obtained as follow:
x² = (√32)² + (√32)²
x² = 32 + 32
x² = 64
Take the square root of both side
x = √64
x = 8 units.
Therefore, the value of x is 8 units.
