Acute, right or obtuse from the sides, Pythagorean triples, and 45-45-90 and 30-60-90 triangles
Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Bo is cutting kite sticks in centimeters. Exactly one set of three lengths can make a right triangle. Which set?
- 15, 36, 39
- 15, 36, 38
- 15, 36, 40
- 16, 36, 39
Esme is cutting tent poles in centimeters. Exactly one set of three lengths can make a right triangle. Which set?
- 20, 21, 28
- 20, 21, 30
- 20, 21, 29
- 20, 22, 29
Jun is cutting shelf supports in centimeters. Exactly one set of three lengths can make a right triangle. Which set?
- 9, 40, 40
- 9, 40, 41
- 10, 40, 41
- 9, 40, 42
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?
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?
Equilateral triangle with 14-inch sides; a segment from the top corner to the middle of the bottom side, marked ?. Not to scale. Equilateral triangle with 14-inch sides; a segment from the top corner to the middle of the bottom side, marked ?. Not to scale. 14 inches 14 inches 14 inches ? Not to scale. Milo's map flag is an equilateral triangle with 18-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?
Equilateral triangle with 18-inch sides; a segment from the top corner to the middle of the bottom side, marked ?. Not to scale. Equilateral triangle with 18-inch sides; a segment from the top corner to the middle of the bottom side, marked ?. Not to scale. 18 inches 18 inches 18 inches ? Not to scale. 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?
A square with its diagonal drawn and marked 5√2 inches. Not to scale. A square with its diagonal drawn and marked 5√2 inches. Not to scale. 5√2 inches Not to scale. 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?
A square with its diagonal drawn and marked 7√2 inches. Not to scale. A square with its diagonal drawn and marked 7√2 inches. Not to scale. 7√2 inches Not to scale. 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?
A square with its diagonal drawn and marked 9√2 inches. Not to scale. A square with its diagonal drawn and marked 9√2 inches. Not to scale. 9√2 inches Not to scale. 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?
A square with its diagonal drawn and marked 12√2 inches. Not to scale. A square with its diagonal drawn and marked 12√2 inches. Not to scale. 12√2 inches Not to scale.