Points X and Y are respectively 12m Nonh and 5m of point Z. Calculate XY

Assessment: WAEC SSCE - General Mathematics - 1992 (Objective) Subject: General Mathematics

Question 1 Report

Points X and Y are respectively 12m Nonh and
5m of point Z. Calculate XY
Answer Details
To find the distance between points X and Y, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we can consider points X, Y, and Z as the vertices of a right triangle, where the right angle is at point Z. Then, XY is the hypotenuse, and we know that XZ = 12m and YZ = 5m. Therefore, we have: XY^2 = XZ^2 + YZ^2 XY^2 = 12^2 + 5^2 XY^2 = 144 + 25 XY^2 = 169 XY = √169 XY = 13m Therefore, the distance between points X and Y is 13m. So the answer is option (C) 13m.

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