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L.E.Q. How do you use inequalities involving angles and sides of triangles?

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Presentation on theme: "L.E.Q. How do you use inequalities involving angles and sides of triangles?"— Presentation transcript:

1 L.E.Q. How do you use inequalities involving angles and sides of triangles?

2  If a = b + c and c > 0, then a > b.

3  The measure of an exterior angle of a triangle is greater than the measure of each of its remote interior angles.

4  In the diagram, by the Isosceles Triangle Theorem. Explain why

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6  If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side.

7  A landscape architect is designing a triangular deck. She wants to place benches in the two larger corners. Which corners have the larger angles?

8  If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle.

9  Inwhich side is the shortest?  Longest?

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12  The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

13 Can a triangle have sides with the given lengths? Explain.  3 ft, 7 ft, 8 ft  3 cm, 6 cm, 10 cm

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15  A triangle has sides of lengths 8 cm and 10 cm. Describe the lengths possible for the third side.

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17  Pgs. 276 – 277 #s 2 – 26 Even.


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