Worksheet

Acute, right or obtuse from the sides, Pythagorean triples, and 45-45-90 and 30-60-90 triangles

Grade 10 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Kira has two sticks, 5 cm and 12 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

  2. Luz has two sticks, 8 cm and 15 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

  3. Milo has two sticks, 12 cm and 16 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

  4. Noah has two sticks, 10 cm and 24 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

  5. Not to scale. Tala's quilt patch is a regular hexagon with 8-cm sides. What is its area in square centimeters, in simplest radical form?

  6. Regular hexagon with 10-cm sides. Not to scale. Zee's table top is a regular hexagon with 10-cm sides. What is its area in square centimeters, in simplest radical form?

  7. Read this first

    Use this

    Not to scale.

  8. Ari packs a straight rod in a box 2 in by 3 in by 6 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

  9. Bo packs a straight rod in a box 4 in by 4 in by 7 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

  10. Esme packs a straight rod in a box 3 in by 4 in by 12 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

  11. Jun packs a straight rod in a box 9 in by 12 in by 20 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

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Acute, right or obtuse from the sides, Pythagorean triples, and 45-45-90 and 30-60-90 triangles

Answer Key - Grade 10 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Kira has two sticks, 5 cm and 12 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

    6 lengths

  2. Luz has two sticks, 8 cm and 15 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

    10 lengths

  3. Milo has two sticks, 12 cm and 16 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

    13 lengths

  4. Noah has two sticks, 10 cm and 24 cm long. A third stick is a whole number of centimeters and must close a real triangle. How many lengths make an obtuse triangle?

    14 lengths

  5. Not to scale. Tala's quilt patch is a regular hexagon with 8-cm sides. What is its area in square centimeters, in simplest radical form?

    96√3

  6. Regular hexagon with 10-cm sides. Not to scale. Zee's table top is a regular hexagon with 10-cm sides. What is its area in square centimeters, in simplest radical form?

    150√3

  7. Read this first

    Use this

    Not to scale.

  8. Ari packs a straight rod in a box 2 in by 3 in by 6 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

    7 inches

  9. Bo packs a straight rod in a box 4 in by 4 in by 7 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

    9 inches

  10. Esme packs a straight rod in a box 3 in by 4 in by 12 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

    13 inches

  11. Jun packs a straight rod in a box 9 in by 12 in by 20 in. How long, in inches, is the longest rod that fits from one corner to the opposite corner?

    25 inches