One angle is a right angle. The length of the side opposite the right angle is 19. The lengths of

Question

Which equation shows the relationship between the side lengths of the given triangle?

Accepted Answer

Choice C is correct. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. Therefore, a 2 + b 2 = c 2 , where a and b are the lengths of the legs and c is the length of the hypotenuse. For the given right triangle, the lengths of the legs are 4 and b , and the length of the hypotenuse is 19 . Substituting 4 for a and 19 for c in the equation a 2 + b 2 = c 2 yields 4 2 + b 2 = 19 2 . Thus, the relationship between the side lengths of the given triangle is 4 2 + b 2 = 19 2 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

Question bc3176