What is the area and perimeter of the triangle formed by the line equation 7x plus 24y -168 equals 0 meeting the x and y axes on the Caretesian plane?

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1086041

2026-08-19 20:10

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Line equation: 7x +24y -168 = 0 or 7x +24y = 168

x intercept: (24, 0)

y intercept: (0, 7)

Distance from x intercept to the origin: 24

Distance from y intercept to the origin: 7

Distance from x intercept to y intercept: 25 using Pythagoras

Area of the triangle: 0.5*24*7 = 84 square units

Perimeter of the triangle: 24+7+25 = 56 units

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