Question Video: The Distance between Two Points in Two Dimensions | Nagwa Question Video: The Distance between Two Points in Two Dimensions | Nagwa

# Question Video: The Distance between Two Points in Two Dimensions Mathematics • Third Year of Preparatory School

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What is the kind of triangle that points π΄ (9, β4), π΅ (3, 5), and πΆ (6, 1) form with respect to its angles?

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### Video Transcript

What is the kind of triangle that points π΄ nine, negative four, π΅ three, five, and πΆ six, one form with respect to its angles?

The first thing we wanna do is sketch a graph we can use to graph the three points. From there, weβll plot the three points π΄, π΅, and πΆ. Point π΄ is located at nine, negative four: nine along the π₯-axis; negative four along the π¦-axis. Point π΅ is located at three along the π₯-axis and five along the π¦-axis. Point πΆ is located at six along the π₯-axis and one along the π¦-axis.

At first glance, it hardly seems like these three points will make a triangle at all, but weβre going to do our best to connect them. How do we label a triangle that looks like this? It has two very small angles and one very large angle.

To label this triangle by its angles, we look at angle πΆ. And because we can visually tell that this is larger than 90 degrees, we label this as an obtuse triangle.

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