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QUESTION IMAGE

drag the vertices of △klm to form a scalene obtuse triangle.

Question

drag the vertices of △klm to form a scalene obtuse triangle.

Explanation:

Step1: Recall triangle - type definitions

A scalene triangle has all side - lengths different and an obtuse triangle has one angle greater than 90°.

Step2: Analyze the given triangle

The given $\triangle KLM$ has angles 35°, 63°, 82° and side - lengths 5.39, 8.25, 9.22. It is scalene but not obtuse as all angles are less than 90°.

Step3: Adjust the vertices

Drag one vertex (for example, vertex L) in such a way that one of the angles exceeds 90° while keeping all side - lengths different.

Answer:

Drag the vertices to make one angle greater than 90° while keeping all side - lengths unequal.