The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, or, in standard algebraic notation, a² + b² = c².
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a² + b² = c².
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
First use the Pythagorean theorem. a² + b² = c²
then take the first derivative of it to get
2a(a') + 2b(b') = 2c(c')
Now figure out how far the train is after 4 seconds
6(4)=24
70² + 24² = c²
c = 74
Now plug in the variables you know
2(70)0 + 2(24)6 = 2(74)c' and solve for c' or the rate of change of c.
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