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Geometric Application of 45-45-90 Triangle Examples Find the missing side or diagonal length for a square with the S ide following side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) D iagonal 1. Side length = 8 2. Diagonal = 112 D = S = P = P = 3. Diagonal = 18 4. Side Length = 72 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 = 92, find MN and the area of triangle LMN. MN = Area = N 9. If MN = 42, find LN and the area of triangle LMN. LN = Area =

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

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Page 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

Geometric Application of 45-45-90 Triangle Examples

Find the missing side or diagonal length for a square with the Sidefollowing side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) Diagonal1. Side length = 8 2. Diagonal = 112 D = S = P = P =

3. Diagonal = 18 4. Side Length = 72 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 thearea of the triangle. A = ½ (B)(H)

7. If LM = 12 , find LN and the area of triangle LMN. L LN = Area =

M8. If LN = 92, find MN and the area of triangle LMN. MN = Area = N

9. If MN = 42, 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 = 212, find LN and the area of triangle LMN. LN = Area =

12. If LN = 17, find MN and the area of triangle LMN. MN = Area =

Page 2: 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

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 = 92 D = S = P = P = 3. Diagonal = 26 4. Side Length = 142 S = D = P = P = 5. Side length = 23 6. Diagonal = 38 D = S = P = P:= 7. Diagonal = 322 8. Side Length = 292 S = D = P = P =

For the following problems, <T = 90. Find the missing sides listed AND thearea of the triangle. A = ½ (B)(H)

9. If ST = 15 , find SV and the area of triangle STV. S SV = Area =

T10. If VT = 10, find SV and the area of triangle STV SV = Area = V 11. If SV = 132, 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 = 122, find SV and the area of triangle STV SV = Area =

14. If ST = 182, find SV and the area of triangle STV SV = Area =

15. If SV = 54, find VT and the area of triangle STV. VT = Area =

Page 3: 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

Geometric Application of 45-45-90 Triangle Practice(B)

Find the missing side or diagonal length for a square with the Sidefollowing side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) Diagonal1. Side length = 272 2. Diagonal = 24 D = S = P = P = 3. Diagonal = 34 4. Side Length = 31 S = D = P = P = 5. Side length = 432 6. Diagonal = 47 D = S = P = P:= 7. Diagonal = 392 8. Side Length = 512 S = D = P = P =

For the following problems, <T = 90. Find the missing sides listed AND thearea of the triangle. A = ½ (B)(H)

9. If ST = 33 , find SV and the area of triangle STV. S SV = Area =

T10. If VT = 262, 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 = 472, 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 = 272, find VT and the area of triangle STV. VT = Area =

16. In the picture above, what degree measure is <TVS?

Page 4: 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

Geometric Application of 45-45-90 Triangle Practice(C)

Find the missing side or diagonal length for a square with the Sidefollowing side lengths or diagonal measure. ALSO, find the perimeter of each square. (P = 4(side length) ) Diagonal1. Side length = 392 2. Diagonal = 27 D = S = P = P = 3. Diagonal = 92 4. Side Length = 313 S = D = P = P = 5. Side length = 285 6. Diagonal = 403 D = S = P = P:= 7. Diagonal = 347 8. Side Length = 5311 S = D = P = P =

For the following problems, <T = 90. Find the missing sides listed AND thearea of the triangle. A = ½ (B)(H)

9. If ST = 492 , find SV and the area of triangle STV. S SV = Area =

T10. If VT = 223, 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 = 622 , find ST and the area of triangle STV ST = Area =

13. If VT = 315, 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 = 307, find VT and the area of triangle STV. VT = Area =

16. In the picture above, what degree measure is <TVS?