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12 Triangle Folding A square piece of paper has side length 1. Esha cuts it in half along one of its diagonals. She labels the corners of one of the triangular halves 4, B, C as shown in the left diagram below. Esha folds the triangle so that B is moved to any point B' on the side AC, making a triangle B'GH as shown shaded on the right. C H B' B B G a Find the area of AB'GH if B' is at C. b Find the area of AB'GH if B' is at A. e Find the length of AG if HB' is perpendicular to AC. d Find the area of AB'GH if HB' is perpendicular to AC.

12 Triangle Folding A square piece of paper has side length 1. Esha cuts it in half along one of its diagonals. She labels the corners of one of the triangular halves 4, B, C as shown in the left diagram below. Esha folds the triangle so that B is moved to any point B' on the side AC, making a triangle B'GH as shown shaded on the right. C H B' B B G a Find the area of AB'GH if B' is at C. b Find the area of AB'GH if B' is at A. e Find the length of AG if HB' is perpendicular to AC. d Find the area of AB'GH if HB' is perpendicular to AC.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 32P
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ANSWER SUB PART B, C, D OF THE QUESTION 

12 Triangle Folding A square piece of paper has side length 1. Esha cuts it in half along one of its diagonals. She labels the corners of one of the triangular halves A, B, C as shown in the left diagram below. Esha folds the triangle so that B is moved to any point B' on the side AC, making a triangle B'GH as shown shaded on the right. C H B' B A B G a Find the area of AB'GH if B' is at C. b Find the area of AB'GH if B' is at A. e Find the length of AG if HB' is perpendicular to AC. d Find the area of AB'GH if HB' is perpendicular to AC.
Transcribed Image Text:12 Triangle Folding A square piece of paper has side length 1. Esha cuts it in half along one of its diagonals. She labels the corners of one of the triangular halves A, B, C as shown in the left diagram below. Esha folds the triangle so that B is moved to any point B' on the side AC, making a triangle B'GH as shown shaded on the right. C H B' B A B G a Find the area of AB'GH if B' is at C. b Find the area of AB'GH if B' is at A. e Find the length of AG if HB' is perpendicular to AC. d Find the area of AB'GH if HB' is perpendicular to AC.
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