Exploring Pythagorean Theorem
Quiz
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Tricia Haynes
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?
obtuse
scalene
isosceles
right
Answer explanation
To use the Pythagorean Theorem, the triangle must be a right triangle. This theorem specifically applies to right triangles, where one angle is exactly 90 degrees, allowing the relationship between the sides to be defined.
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
largest
smallest
middle
first
Tags
CCSS.8.G.B.8
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Given the lengths 3", 4", 5", classify the triangle formed and or state that no triangle CAN be formed.
No triangle
Acute triangle
Right triangle
Obtuse triangle
Answer explanation
The lengths 3", 4", and 5" satisfy the Pythagorean theorem (3² + 4² = 5²), indicating a right triangle. Therefore, the correct classification is a right triangle.
Tags
CCSS.7.G.A.2
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If the legs of a right triangle are 16 and 63, what is the length of the hypotenuse?
79
2112.5
65
61
Answer explanation
To find the hypotenuse of a right triangle with legs 16 and 63, use the Pythagorean theorem: c = √(a² + b²). Here, c = √(16² + 63²) = √(256 + 3969) = √4225 = 65. Thus, the hypotenuse is 65.
Tags
CCSS.8.G.B.7
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run? Which equation could be used to solve the problem?
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
111.8 yards
115 yards
127.3 yards
119 yards
Answer explanation
To find the diagonal distance Patrick walks, use the Pythagorean theorem: d = √(width² + length²) = √(50² + 100²) = √(2500 + 10000) = √12500 ≈ 111.8 yards. Thus, the correct answer is 111.8 yards.
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Find the missing side.
48
108
83.6
72
Tags
CCSS.8.G.B.7
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