1. Geometric Application of 45-45-90 Triangle Examples Find the missing side or diagonal length for a square with the Side following side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) Diagonal 1.Side length = 8 2. Diagonal = 11  2 D = S = P = P = 3. Diagonal = 18 4. Side Length = 7  2 S = D = P = P = 5. Side length = 13 6. Diagonal = 21 D = S = P = P:= For the following problems, <M = 90. Find the missing sides listed AND the area of the triangle. A = ½ (B)(H) 7. If LM = 12, find LN and the area of triangle LMN. L LN = Area = M 8. If LN = 9  2, find MN and the area of triangle LMN. MN = Area = N 9. If MN = 4  2, find LN and the area of triangle LMN. LN = Area = 10. If LN = 10, find LM and the area of triangle LMN. LM = Area = 11. If LM = 21  2, find LN and the area of triangle LMN. LN = Area = 12. If LN = 17, find MN and the area of triangle LMN. MN = Area =

2. Geometric Application of 45-45-90 Triangle Practice(A) Find the missing side or diagonal length for a square with the Side following side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) Diagonal 1. Side length = 15 2. Diagonal = 9  2 D = S = P = P = 3. Diagonal = 26 4. Side Length = 14  2 S = D = P = P = 5. Side length = 23 6. Diagonal = 38 D = S = P = P:= 7. Diagonal = 32  2 8. Side Length = 29  2 S = D = P = P = For the following problems, <T = 90. Find the missing sides listed AND the area of the triangle. A = ½ (B)(H) 9. If ST = 15, find SV and the area of triangle STV. S SV = Area = T 10. If VT = 10, find SV and the area of triangle STV SV = Area = V 11. If SV = 13  2, find VT and the area of triangle STV. VT = Area = 12. If SV = 14, find ST and the area of triangle STV ST = Area = 13. If VT = 12  2, find SV and the area of triangle STV SV = Area = 14. If ST = 18  2, find SV and the area of triangle STV SV = Area = 15. If SV = 54, find VT and the area of triangle STV. VT = Area =

3. Geometric Application of 45-45-90 Triangle Practice(B) Find the missing side or diagonal length for a square with the Side following side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) Diagonal 1.Side length = 27  2 2. Diagonal = 24 D = S = P = P = 3. Diagonal = 34 4. Side Length = 31 S = D = P = P = 5. Side length = 43  2 6. Diagonal = 47 D = S = P = P:= 7. Diagonal = 39  2 8. Side Length = 51  2 S = D = P = P = For the following problems, <T = 90. Find the missing sides listed AND the area of the triangle. A = ½ (B)(H) 9. If ST = 33, find SV and the area of triangle STV. S SV = Area = T 10. If VT = 26  2, find SV and the area of triangle STV SV = Area = V 11. If SV = 28, find VT and the area of triangle STV. VT = Area = 12. If SV = 53, find ST and the area of triangle STV ST = Area = 13. If VT = 47  2, find SV and the area of triangle STV SV = Area = 14. If ST = 49, find SV and the area of triangle STV SV = Area = 15. If SV = 27  2, find VT and the area of triangle STV. VT = Area = 16. In the picture above, what degree measure is <TVS?

4. Geometric Application of 45-45-90 Triangle Practice(C) Find the missing side or diagonal length for a square with the Side following side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) Diagonal 1.Side length = 39  2 2. Diagonal = 27 D = S = P = P = 3. Diagonal = 92 4. Side Length = 31  3 S = D = P = P = 5. Side length = 28  5 6. Diagonal = 40  3 D = S = P = P:= 7. Diagonal = 34  7 8. Side Length = 53  11 S = D = P = P = For the following problems, <T = 90. Find the missing sides listed AND the area of the triangle. A = ½ (B)(H) 9. If ST = 49  2, find SV and the area of triangle STV. S SV = Area = T 10. If VT = 22  3, find SV and the area of triangle STV SV = Area = V 11. If SV = 57, find VT and the area of triangle STV. VT = Area = 12. If SV = 62  2, find ST and the area of triangle STV ST = Area = 13. If VT = 31  5, find SV and the area of triangle STV SV = Area = 14. If ST = 65, find SV and the area of triangle STV SV = Area = 15. If SV = 30  7, find VT and the area of triangle STV. VT = Area = 16. In the picture above, what degree measure is <TVS?