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Name ___ Date ___8.4Equilateral and Isosceles Triangles For use with Exploration 8.4Essential Question What conjectures can you make about the side lengths and angle measures of an isosceles triangle?
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How to fill out equilateral and isosceles triangles

01
For an equilateral triangle, measure one of the sides to determine the length of all sides.
02
Draw a straight line with the measured length.
03
From the endpoints of the line, draw two more lines at a 60-degree angle to create the remaining two sides.
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The three sides should now be equal in length, forming an equilateral triangle.
05
For an isosceles triangle, measure two equal sides and one different side.
06
Draw a line representing the different side, and from its endpoints draw lines at an equal angle to create the equal sides.
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The two equal sides should now be of equal length, forming an isosceles triangle.

Who needs equilateral and isosceles triangles?

01
Architects and engineers often use equilateral and isosceles triangles for drafting and design purposes.
02
Mathematicians may use these triangles for geometric calculations and proofs.
03
Artists might use these triangles for creating geometric patterns or designs.
04
Students learning about geometry or trigonometry may need to work with these triangles for assignments or exams.
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Equilateral triangle has all three sides equal in length, while Isosceles triangle has two sides equal in length.
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