Question

Can someone help? Show work

Answer 1

Given the isosceles right triangle in which each of its legs has a measure of 4:

Let c = hypotenuse
a = one of the legs of the triangle
b = the other leg of the triangle

Use the Pythagorean Theorem to solve for the measure of the hypotenuse:

c^ 2 = a^2 + b^2

c^ 2 = (4)^2 + (4)^2
c^ 2 = 16 + 16
c^2 = 32

Next, take the square root of each side of the equation to solve for c:

√(c^2) = √(32)

c = 4√(2)

Therefore, the correct answer is Option 3) 4√(2).