University Of Chicago Pythagorean Theorem Quiz with Complete Solutions., Exams of Mathematics

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University Of Chicago

Pythagorean Theorem Quiz

with Complete Solutions

Pythagorean Theorem Quiz

Answers

1. Use the Pythagorean Theorem to see if the measurements below can form a right triangle. ***** a = 5 in. b = 12 in. c = 13 in.
   • Yes, it is a right triangle.
   • No, it is not a right triangle
   • There is not enough info.
2. a = 6.4, b = 12, c = 12.2 is this a right triangle?
   • yes
   • no
3. a = 2.1, b = 7.2, c = 7.5 is this a right triangle?
   • yes
   • no
4. If a triangle has a side a=5 and b=12, what is c?
   • 10
   • 17
   • 169
   • 13
5. Which three side lengths form a right triangle?
   • 5, 12, 13
   • 4, 5, 7
   • 3, 6, 9
   • 1, 3, square root of 11
6. Use the Pythagorean Theorem to see if the measurements below can form a right triangle. **** a= 6 cm, b= 8 cm, c = 10 cm
   • Yes, it is a right triangle.
   • No, it is not a right triangle
   • There is not enough info.
7. What is the length of x?

10. Find the hypotenuse in the image shown
    • 169
    • 13
    • 17
11. Do the segment lengths 9, 12, and 15 form a right triangle?
    • Yes
    • No
    • Maybe
    • Pythagoras
12. Do the segment lengths 9, 11 and 15 cm form a right triangle?
    • yes

• no
• maybe
• pythagoras

13. Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

• yes
• no
• maybe
• 22

14. The Pythagorean Theorem ONLY works on which triangle?

• obtuse
• scalene
• isosceles
• right

15. What is the name of the longest side of a right-angled triangle?

• Pythagoras
• Hypotenoose
• Hipotenuse
• Hypotenuse

16. What kind of triangles does the Pythagorean Theorem work with?

• Right
• Left
• Isosceles
• Equilateral

17. What is the formula for Pythagoras theorem if in a right angles triangle a and b are the short sides and c is the longest side?

• a2 x b2 = c
• a + b = c
• a2 + a2 = c
• a2 + b2 = c

18. Does an 8, 15, 16 triangle have a Right Angle?

21. Does this triangle have a Right Angle?
    • No
    • Yes

Terms and Answers to Learn

Pythagorean Theorem Formula Pythagorean Theorem Definition A right triangle (with a 90 degree angle) is composed of two legs and a hypotenuse (side opposite the right angle). Pythagorean Theorem

Pythagorean Theorem Example: Pythagorean Theorem Legs Sides that are adjacent (same vertex, share a common side) the right angle. There are two. Hypotenuse The side opposite the right angle Right Triangle A triangle that has one right angle (90 degrees) with 2 legs, and one hypotenuse. leg

Any side of a square. A number which, when multiplied by itself, makes a square. One of the dimensions of a square. pythagorean theorem The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. perfect square A square with a whole number root. Pythagoras

Greek philosopher, 570 - 495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians. right triangle A triangle that contains a right angle. right angle An angle of exactly 90 degrees. inverse operations Math operations that reverse the effect of each other. c, and the longest side of a right triangle Hypotenuse labeled a and b, the other two sides of the right triangle

The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle. hypotenuse The result of multiplying a number by itself. square The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. pythagorean theorem

A square with a whole number root. perfect square Greek philosopher, 570 - 495 BC. There is no evidence that Pythagoras himself worked on or proved the Pythagorean Theorem, which was used previously by Babylonians and Indians. Pythagoras A triangle that contains a right angle. right triangle

c2>a2+b How to recognize an acute triangle c2<a2+b How to solve 30 - 60 - 90 triangles hypotenuse is 2b, legs are b and b square root of 3 How to solve 45 - 45 - 90 triangles hypotenuse is a square root of 2, legs are same length