Steve has a rectangular gazebo in his back yard with a width of 3 feet less than times its length and an area of 156 square feet
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No product results in -1, hence δlmn is NOT a right triangle showing that lydia's assertion is incorrect
<h3>Perpendicular lines</h3>In order to determine whether triangle lmn is right-angled, we need to determine the slope of lm, ln, and mn first as shown:
For the slope of lm:
For the slope of ln:
For the slope of mn:
- If any of the two lines is perpendicular, hence the triangle lmn is right-angled.
- To check, we will take the product of the slopes and see if it is equivalent to -1.
Product of slope lm and ln
Since no product results in -1, hence δlmn is NOT a right triangle showing that Lydia's assertion is incorrect
Learn more on slopes here: brainly.com/question/3493733