Question

# The points and (82, 30) are vertices of

- an obtuse – angled Δ
- an acute – angled Δ
- a right – angled Δ
- none of these

## The correct answer is: none of these

### Here we have given 3 vertices.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is

m = change in y/change in x = Δy/Δx

where “m” is the slope of a line.

The slope of the line can also be represented by

tan θ = Δy/Δx

Slope, m = Change in y-coordinates/Change in x-coordinates

m = (y2 – y1)/(x2 – x1)

Here we will use the same formula to find the slope. If slope matches, then its not a triangle.

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure. A straight line is an endless one-dimensional figure that has no width. Here we have given the points as (0, 8/3), (1, 3) and (82, 30), we have to find these are the vertices of which figure.

Here we used the concept of slope and slope of a line where we found the slope of the line of side off triangle and found that the slopes of th e lines are same and hence A, B and C were collinear. So it cannot form any triangle and its a straight line on which all the three points are lying.

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