MHB Is triangle ANC and isosceles triangle and why

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SUMMARY

The discussion focuses on determining whether triangle ABC, with vertices A(7,-2), B(-1,-8), and C(5,0), is an isosceles triangle. By applying the distance formula, the lengths of sides AB, BC, and AC are calculated. The results show that two sides are equal, confirming that triangle ABC is indeed isosceles.

PREREQUISITES
  • Understanding of the distance formula in coordinate geometry
  • Basic knowledge of triangle properties, specifically isosceles triangles
  • Ability to perform calculations with coordinates
  • Familiarity with geometric concepts and terminology
NEXT STEPS
  • Learn how to apply the distance formula in different geometric contexts
  • Explore properties of other types of triangles, such as equilateral and scalene
  • Study coordinate geometry and its applications in real-world problems
  • Investigate the concept of triangle congruence and similarity
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Students studying geometry, educators teaching coordinate geometry, and anyone interested in understanding triangle properties and calculations.

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is this triangle isosceles
A(7,-2)
B(-1,-8)
C(5,0)
 
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use the distance formula to calculate the lengths of AB, BC, and AC and find out ...
 

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