Question

What is the area of the triangle formed by the line + = 1 with the coordinate axes ?​

Answer 1

Answer:

xaxa  + ybyb = 1 The given linear equation is in the slope intercept form. Intercept means the distance at which the given equation cuts or meets the coordinate axis. In this problem a & b are the intercepts on the x and y axis respectively. The triangle formed by a straight line with the coordinate axis is a right angled triangle where the angle subtended at origin is 90°. So the length of the x intercepts becomes the perpendicular and y intercept becomes the base of the triangle. We know, Area Of a triangle = 1212 x (perpendicular length) x (base length) So, Area of the triangle becomes 1212ab The Area of the triangle is 1212abRead more on Sarthaks.com - https://www.sarthaks.com/1077088/the-area-the-triangle-formed-the-linex-a-y-b-with-the-coordinate-axes-is-ab-2ab-1ab-1ab

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