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Published byHugo Richardson Modified over 8 years ago
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c – b < a < c + b ** Key word: between ** i.e. : between which two number must the value of x lie?
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Between which two numbers must the value of x lie? 9 x 4
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Use the triangle inequality rule: 9 – 4 < x < 9 + 4 Simplify by subtracting on the left and adding on the right 5 < x < 13 9 x 4
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If triangle ABC has sides of lengths 6, 10 and x+3, between which two numbers must the value of x lie? Set up your inequality ◦ 10-6<x+3<10+6 Simplify ◦ 4<x+3<16 Solve for x by subtracting 3 (inverse operation) ◦ 1<x<13 Answer: 1 and 13
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If triangle ABC has sides of lengths 7, 14 and x+4, between which two numbers must the value of x lie? Set up your inequality ◦ 14-7<x+4<14+7 Simplify ◦ 7<x+4<21 Solve for x by subtracting 4 (inverse operation) ◦ 3<x<17 Answer: 3 and 17
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If triangle ABC has sides of lengths 10, 12 and x-4, between which two numbers must the value of x lie? Set up your inequality ◦ 12-10<x-4<12+10 Simplify ◦ 2<x-4<22 Solve for x by adding 4 (inverse operation) ◦ 6<x<26 Answer: 6 and 26
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If triangle ABC has sides of lengths 10, 25 and 5x, between which two numbers must the value of x lie? Set up your inequality ◦ 25-10<5x<25+10 Simplify ◦ 15<5x<35 Solve for x by dividing by 5 (inverse operation) ◦ 3<x<7 Answer: 3 and 7
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If triangle ABC has sides of lengths 6, 18 and x, between which two numbers must the value of x lie? Set up your inequality ◦ 18-6<x<18+6 Simplify ◦ 12<x<24 Answer: 12 and 24
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Trapezoids can be composite figures too. 1. Cut the trapezoid into separate shapes & find area of each individual shape. 2. Add the areas together to find the area of a trapezoid.
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Find the area by separating into one rectangle and two triangles. Rectangle: 10x12= 120 Triangle: ½ (3x10)=15 Total= 120+15+15= 150 12 18 10
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Find the area by separating into one rectangle and two triangles. Rectangle: 15x9=135 Triangle: ½ (2x9)=9 Total= 135+9+9= 153 19 15 9
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Find the area by separating into one rectangle and two triangles. Rectangle: 11.8 x 7.5= 88.5 Triangle: ½ (1x7.5)=3.75 Total= 88.5+3.75+3.75= 96 13.8 11.8 7.5
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