The given triangle is an acute triangle and this can be determined by using the distance formula and the Pythagorean theorem.
Given :
Coordinates of triangle are --- J(-7, -7), K(-9, 1), L(-1, -1)
The following steps can be used in order to classify the given triangle:
Step 1 - First, determine the distance between the points.
[tex]\rm JK = \sqrt{(-9+7)^2+(1+7)^2} = \sqrt{4+64} = \sqrt{68}[/tex]
[tex]\rm KL = \sqrt{(-1+9)^2+(-1-1)^2} = \sqrt{64+4} = \sqrt{68}[/tex]
[tex]\rm JL = \sqrt{(-1+7)^2+(-1+7)^2} = \sqrt{36+36} = \sqrt{72}[/tex]
Step 2 - In order to classify the given triangle, the Pythagorean theorem can be used.
[tex]\rm H^2 = P^2 + B^2[/tex]
Step 3 - Substitute the values of P, H, and B in the above expression.
[tex]\rm (\sqrt{72} )^2 = (\sqrt{68} )^2 + (\sqrt{68} )^2[/tex]
Step 4 - Simplify the above expression.
72 < 136
Therefore, the given triangle is an acute triangle.
For more information, refer to the link given below:
https://brainly.com/question/989117
