Answer to Student Resources Crane Strain: Math Focus

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Presentation transcript:

Answer to Student Resources Crane Strain: Math Focus The Pythagorean is used to find the missing truss members: a2 + b2 = c2 ****Please Note: This formula is for right triangles only!**** b a c

Answer to Student Resources Crane Strain: Math Focus Problem 1: Given: c = 19; b = 17 Find: a Equation: a2 + b2 = c2 Solve: a2 + 172 = 192 a2 + 289 = 361 a2 = 361 – 289 a2 = 72 a = √72 = 8.5 19 17

Answer to Student Resources Crane Strain: Math Focus Problem 2: Given: a = 5; b = 13 Find: c Equation: a2 + b2 = c2 Solve: 52 + 132 = c2 25 + 169 = c2 c2 = 194 c = √194 = 13.9 5 13

Answer to Student Resources Crane Strain: Math Focus Problem 3: Given: c = 20; a = 10 Find: b Equation: a2 + b2 = c2 Solve: 102 + b2 = 202 100 + b2 = 400 b2 = 400 – 100 b2 = 300 b = √300 = 17.3 20 10

Answer to Student Resources Crane Strain: Math Focus Problem 4: Given: a = 5; b = 14 Find: c Equation: a2 + b2 = c2 Solve: 52 + 142 = c2 25 + 196 = c2 c2 = 221 c = √221 = 14.9 5 14

Answer to Student Resources Crane Strain: Math Focus Problem 5: Given: a = 13; b = 6 Find: c Equation: a2 + b2 = c2 Solve: 132 + 62 = c2 169+ 36 = c2 c2 = 205 c = √205 = 14.3 13 6

Answer to Student Resources Crane Strain: Math Focus Problem 6: Given: c = 23; b = 8 Find: a Equation: a2 + b2 = c2 Solve: a2 + 82 = 232 a2 + 64 = 529 a2 = 529 – 64 a2 = 465 a = √465 = 21.6 23 8