University:
Glendale Community College
Course:
MAT142 | College Mathematics
Academic year:

2020
Views:

253

Pages:

4
Author:

unidosenluz0y

Homework #1-20: Use the Pythagorean Theorem to find the missing length. Round to two decimal places when necessary. Make sure to use units in your answer when the lengths are given with units. 1) a=5 b = 12 c is unknown 52 + 122 = c2 25 + 144 = c2 169 = c2 √169 = c Answer: c = 13 cm 3) a=x b = 28 c = 53 x2 + 282 = 532 x2 + 784 =2809 ____-784_-784 x2 = 2025 x = 45 Answer: x = 45 cm 5) Round your answer to 2 decimals. a2 + 82 = 122 a2 + 64 = 144 ___-64__-64 a2 = 80 a = √80 a = 8.94 in 7) Find the length of the diagonal. Round your answer to 2 decimals. a = 10 b = 10 c is unknown. 102 + 102 = c2 100 + 100 = c2 200 = c2 √200 = c Diagonal 14.14 m 9) Find the length of the diagonal. 182 + 362 = x2 324 + 1296 = x2 1620 = x2 √1620 = x Diagonal 40.25 m 11) Solve for x. Assume the units are in meters. Round to 2 decimals. I need to break this into 2 triangles. I assume that the base of the triangle is 5. 5 a = 5, b = x, c = 12 52 + x2 = 122 25 + x2 = 144 x2 = 119 x = 10.91 meters 13) Find d and D. Round to 2 decimals. I first find little d. The triangle along the bottom has sides 9,9 and a hypotenuse of d. 92 + 92 = d2 81 + 81 = d2 d = 12.73’ Now I can find big D. d2 + 92 = D2 12.732 + 92 = D2 162.0529 + 81 = D2 243.0529 = D2 D = 15.59’ I will first find “c” 15) Find c and d. 62 + 82 = c2 36 + 64 = c2 100 = c2 c = 10 in Next find d. 102 + 102 = d2 100 + 100 = d2 200 = d2 d = 14.14 in