Answer:
x = 2√2
Step-by-step explanation:
This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.
In the case, the hypotenuse is already 4. So we have the equation:
x√2 = 4
Multiply both sides by √2
2x = 4√2
Divide both sides by 2
x = 2√2
Answer:

Step-by-step explanation:
Rounded to the nearest tenth.
Add the parentheses together first then subtract the rest
Volume of a Trapezoidal Prism = Area of Trapeze (front of figure) x height
Area of Trapeze = (B+b)H/2 = (3+2)x(2.1)/(2) = 5.25 in²
Volume of a Trapezoidal Prism = 5.25 x 4 = 21 in³