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

Grade 10 Math Worksheet - Building Confidence

NameDate

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

  1. Ari is cutting frame braces in centimeters. Exactly one set of three lengths can make a right triangle. Which set?

    • 21, 28, 36
    • 21, 29, 35
    • 21, 28, 35
    • 21, 28, 34
  2. Bo is cutting kite sticks in centimeters. Exactly one set of three lengths can make a right triangle. Which set?

    • 15, 36, 39
    • 16, 36, 39
    • 15, 36, 40
    • 15, 36, 38
  3. Esme is cutting tent poles in centimeters. Exactly one set of three lengths can make a right triangle. Which set?

    • 20, 22, 29
    • 20, 21, 28
    • 20, 21, 30
    • 20, 21, 29
  4. Kira's pennant is an equilateral triangle with 10-inch sides. A seam runs from the top corner to the middle of the bottom side. How long is the seam, in simplest radical form?

  5. Luz's tent flap is an equilateral triangle with 14-inch sides. A seam runs from the top corner to the middle of the bottom side. How long is the seam, in simplest radical form?

  6. Noah's paper banner is an equilateral triangle with 22-inch sides. A seam runs from the top corner to the middle of the bottom side. How long is the seam, in simplest radical form?

  7. Pia's square window frame has a brace from corner to corner that is 5√2 inches long. How many inches of trim go all the way around the edge?

  8. Ren's square table top has a brace from corner to corner that is 7√2 inches long. How many inches of trim go all the way around the edge?

  9. Tala's square quilt patch has a brace from corner to corner that is 9√2 inches long. How many inches of trim go all the way around the edge?

  10. Zee's square poster board has a brace from corner to corner that is 12√2 inches long. How many inches of trim go all the way around the edge?

PencilGopencilgo.com

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

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

  1. Ari is cutting frame braces in centimeters. Exactly one set of three lengths can make a right triangle. Which set?

    • 21, 28, 36
    • 21, 29, 35
    • 21, 28, 35
    • 21, 28, 34
  2. Bo is cutting kite sticks in centimeters. Exactly one set of three lengths can make a right triangle. Which set?

    • 15, 36, 39
    • 16, 36, 39
    • 15, 36, 40
    • 15, 36, 38
  3. Esme is cutting tent poles in centimeters. Exactly one set of three lengths can make a right triangle. Which set?

    • 20, 22, 29
    • 20, 21, 28
    • 20, 21, 30
    • 20, 21, 29
  4. Kira's pennant is an equilateral triangle with 10-inch sides. A seam runs from the top corner to the middle of the bottom side. How long is the seam, in simplest radical form?

    5√3
  5. Luz's tent flap is an equilateral triangle with 14-inch sides. A seam runs from the top corner to the middle of the bottom side. How long is the seam, in simplest radical form?

    7√3
  6. Noah's paper banner is an equilateral triangle with 22-inch sides. A seam runs from the top corner to the middle of the bottom side. How long is the seam, in simplest radical form?

    11√3
  7. Pia's square window frame has a brace from corner to corner that is 5√2 inches long. How many inches of trim go all the way around the edge?

    20 inches
  8. Ren's square table top has a brace from corner to corner that is 7√2 inches long. How many inches of trim go all the way around the edge?

    28 inches
  9. Tala's square quilt patch has a brace from corner to corner that is 9√2 inches long. How many inches of trim go all the way around the edge?

    36 inches
  10. Zee's square poster board has a brace from corner to corner that is 12√2 inches long. How many inches of trim go all the way around the edge?

    48 inches