Formulas Pythagorean theorem

What if two jets leave at different times, and you want to determine the speed at which a particular jet is traveling Use the distance formula and the Pythagorean theorem. 

Find the two distances along the hypotenuses (in terms of x) using the Pythagorean theorem. After finding the distances, use the distance formula d = rt, and solve for t, t = y. The time it took for each part of the trip along a hypotenuse was the same, so the two distances divided by their respective rates are equal to one another. Because Katie paddles more quickly than she walks, let the rate at which she walks be r and the rate at which she paddles be 2.5r. 

Pythagorean theorem the formula a2 + b2 = c2, where a and b represent the lengths of the legs and c represents the length of the hypotenuse of a right triangle... 

The geometrical significance of the Pythagorean theorem is shown in Fig. 1.1 the sum of the areas of the two smaller squares equals the area of the large square. Well over 350 different proofs of the theorem have been published. Figure 1.2 shows a pictorial proof, which requires neither words nor formulas. 

The numbers 3, 4, and 5 are known as Pythagorean triplets. The name is derived from the Pythagorean theorem about right-angle triangles, which states that sides a and b) of every right triangle satisfy the formula ... 

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