Tenth Grade Math
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  Tenth Grade Math Worksheets


 

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Similar Triangles
Complete.

1.   Triangles CDE and IJK are similar. CE:IK = 2:6, and JK = 78, what is the length of DE?


2.   Triangles FGH and MNO are similar. The perimeter of smaller triangle FGH is 77. The lengths of two corresponding sides on the triangles are 30 and 150. One side of MNO is 80. What is the length of the corresponding side on FGH?


3.   A tree 46 feet tall casts a shadow 56 feet long. Amy is 5 3/4 feet tall. How long is Amy's shadow?


4.   Triangles JKL and STU are similar. The length of the sides of JKL are 229 + x, 10x - 62, and x + 221. The perimeter of JKL is 808. The perimeter of STU is 707, what is the length of the longest side of STU?


5.   Triangles BCD and GHI are similar. The length of the sides of BCD are 17x - 49, 2x + 224, and 14 + 13x. The perimeter of BCD is 861. The length of the smallest side of GHI is 169 + x, what is the length of the longest side of GHI?


6.   Triangles EFG and KLM are similar. The perimeter of smaller triangle EFG is 86. The lengths of two corresponding sides on the triangles are 33 and 132. What is the perimeter of KLM?


7.   Triangles KLM and UVW are similar. The length of the sides of KLM are 8 + 3x, 2x + 96, and 92 + 2x. The perimeter of KLM is 476. The length of the longest side of UVW is 24 + 6x, what is the perimeter of UVW?


8.   Triangles HIJ and TUV are similar. The perimeter of smaller triangle HIJ is 135. The lengths of two corresponding sides on the triangles are 45 and 270. What is the perimeter of TUV?


9.   Triangles KLM and STU are similar. The length of the sides of KLM are x + 82, 4x - 26, and 5x - 90. The perimeter of KLM is 306. The perimeter of STU is 459, what is the length of the longest side of STU?


10.   Triangles IJK and RST are similar. The perimeter of smaller triangle IJK is 126. The lengths of two corresponding sides on the triangles are 38 and 152. One side of RST is 172. What is the length of the corresponding side on IJK?