The Pythagorean theorem is used to find the length of the sides of a right triangle. It states that:
a2 + b2 = c2
where a and b are the legs of the triangle, and c is the hypotenuse (the side opposite the right angle).
Given:
a = 4 yards
b = 3 yards
Step 1: Square the lengths of the two legs:
42 = 16
32 = 9
Step 2: Add the squares:
16 + 9 = 25
Step 3: Find the square root of the sum to get the hypotenuse (C):
C = √25 = 5
Therefore, C = 5 yards.
This means the hypotenuse of the right triangle with legs 4yd and 3yd is 5yd.