Let A = (0, 12) and B = (25, 12). If possible, find coordinates for a point P on the x-axis that makes angle APB a right angle.

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06-12-2017
Mathematics

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Let A = (0, 12) and B = (25, 12). If possible, find coordinates for a point P on the x-axis that makes angle APB a right angle.

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W0lf93 W0lf93 · Answer 1 · 2017-12-15T21:49:16+01:00

Since any right triangle formed between points A, B, and a point on thee x-axis would have it's longest side, or hypotenuse, as AB, with a length of 25, there is more than one point P along the x-axis that could form a right angle APB. One of those points is (9,0). This would give side AP a length of 15, and side PB a length of 20, forming a right triangle, verified using the pythagorean theorum, 25^2 = 15^2 + 20^2 or 625 = 225 + 400.