University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2023
Views:

314

Pages:

2
Author:

StellarSymphony

Secondary 3H Name: _____________ Date: _____________ Period: _____________ Side Splitter, Angle Splitter, Geometric Mean Find the missing length indicated. Leave your answer in simplest radical form. 1) x/12 = 12/9 x = 16 2) x/108 = 108/81 x = 144 3) x/81 = 81/108 x = 60.75 4) 48/36 = 36/x x = 27 5) 48/x = x/36 x = 40.98 6) 12/x = x/16 x = 13.86 7) x/10 = 10/5 x = 20 8) 15/x = x/40 x = 24.5 9) 20/x = x/5 x = 10 10) triangle with sides 27, 12, and x 27/x = x/12 x = 18 11) x/2 = 2/4 x = 1 12) 5/x = x/21 x = 10.25 Each figure shows a triangle with one of its angle bisectors. 13) m∠1 = m∠2; m∠FDE = 24x + 4; Find m∠2. 13x - 1 + 13x - 1 = 24x + 4 26x - 2 = 24x + 4 2x = 6 x = 3 m∠2 = 38° 14) Find m∠UST if m∠2 = 6x + 8 and m∠1 = -2 + 8x. m∠1 = m∠2 -2 + 8x = 6x + 8 2x = 10 x = 5 m∠UST = 76° Solve for x. 15) (2x - 7)/4 = 20/6 5(2x - 7) = 4(20) x = 10 16) 9/x = x/12 x² = 108 x ≈ 10.39 Each figure shows a triangle with one of its angle bisectors. 17) m∠CAB = 48°. Find m∠1. m∠1 = 22° 18) Find m∠HFG if m∠1 = 41°. m∠HFG = 82° Find the missing length. The triangles in each pair are similar. 19) x/14 = 70/10 x = 98 20)