Question

For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form.a = 4, b = 4, C = ?a) 31.45 b) 9.10 c) Xylab"

Answer 1

The length of the third side, or the hypotenuse, is 4√2.

Step-by-step explanation:

The Pythagorean theorem relates the lengths of the legs of a right triangle to the length of the hypotenuse. It states that a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse. In this case, a = 4 and b = 4. To find the length of the hypotenuse, we can substitute the values into the equation and solve for c:

c = √(4² + 4²)

c = √32

c = 4√2

So, the length of the third side, or the hypotenuse, is 4√2.