Answer:
a) The hypotenuse side is BC.
b) Using the Pythagorean Theorem, we can determine the missing side: AB = √(AC² - BC²) = √(6² - 4²) = √(36 - 16) = √20 = 4.47.
c) The perimeter of the triangle is AC + BC + AB = 6 + 4 + 4.47 = 14.47.
d) The area of the triangle is ½ × AC × AB = ½ × 6 × 4.47 = 13.7.
Explanation:
The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse. So, for the triangle given, we can use this theorem to calculate the length of side AB, which is the missing side. Then, we can calculate the perimeter of the triangle by adding up all three sides and the area of the triangle by using the formula ½ × AC × AB.