k2=m2+n2For any right triangle, the given equation relates the length of the hypotenuse, k, to the lengths of the other two sides of the triangle, m and n. Which of the following equations correctly gives m in terms of k and n ?Choose 1 answer:(A) m=k−n(B) m=k2−n2(C) m=k2−n2(D) m=k2+n2
Q. k2=m2+n2For any right triangle, the given equation relates the length of the hypotenuse, k, to the lengths of the other two sides of the triangle, m and n. Which of the following equations correctly gives m in terms of k and n ?Choose 1 answer:(A) m=k−n(B) m=k2−n2(C) m=k2−n2(D) m=k2+n2
Given equation: We are given the equation of a right triangle: k2=m2+n2. We need to solve for m in terms of k and n.
Isolating m: To isolate m, we first subtract n2 from both sides of the equation: k2−n2=m2.
Solving for m: Next, we take the square root of both sides to solve for m: m=k2−n2.
Checking the answer: We check the answer choices to see which one matches our derived equation for m. The correct equation is m=k2−n2.
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