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
Pythagorean Theorem: We start with the Pythagorean theorem for a right triangle: k2=m2+n2.
Isolate m2: To solve for m, we need to isolate m2 on one side of the equation. So we subtract n2 from both sides: k2−n2=m2.
Solve for m: Now we take the square root of both sides to solve for m: m=k2−n2.
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