GED Math Geometry Practice: Full Solutions & Tips

Added: 2026-05-17

[00:00:00]GED math geometry practice.

[00:00:04]Question one. A rectangle has a length of 12 cm and a diagonal of 15 cm. How wide is the rectangle? Option A, 6 cm.

[00:00:14]Option B, 8 cm. Option C, 9 cm. Option D, 10 cm.

[00:00:21]The correct answer is option C, 9 cm.

[00:00:25]Use the Pythagorean theorem because the diagonal is the hypotenuse. W squared plus 12 squared equals 15 squared. So, W squared equals 81 and W equals nine. A and B are too small because they would not make a 15 cm diagonal with length 12. D is too large because 12 squared plus 10 squared gives a diagonal greater than 15.

[00:00:50]Question two. A ladder leans against a wall so that its base is 5 ft from the wall and its top reaches 12 ft high. How long is the ladder? Option A, 13 ft.

[00:01:01]Option B, 14 ft. Option C, 15 ft. Option D, 17 ft.

[00:01:08]The correct answer is option A, 13 ft.

[00:01:11]The wall, ground, and ladder form a right triangle with legs five and 12.

[00:01:16]So, the ladder is square root five squared plus 12 squared equals square root 169 equals 13. B, C, and D are longer than the Pythagorean result.

[00:01:29]Question three. The hypotenuse of a right triangle is 25 cm. One leg is 7 cm. Find the other leg. Option A, 20 cm.

[00:01:40]Option B, 22 cm. Option C, 24 cm. Option D, 26 cm.

[00:01:48]The correct answer is option C, 24 cm.

[00:01:53]Use the Pythagorean theorem. Other leg squared equals 25 squared. 7 squared equals 625 to 49 equals 576.

[00:02:03]So, the leg is 24 cm. A and B are too short, and D is impossible because a leg cannot be longer than the hypotenuse.