Apply the Area of Squares Proof to determine if a triangle is a right triangle

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Mathematics, Information Technology (IT), Architecture
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1st - 6th Grade
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the squares of the sides of a right triangle?
The squares of the legs are greater than the square of the hypotenuse.
The square of the hypotenuse is less than the sum of the squares of the legs.
The sum of the squares of all sides is equal.
The sum of the squares of the legs equals the square of the hypotenuse.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of triangle is formed when three squares with equal areas are combined?
Right triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following sets of side lengths can form a right triangle?
3, 4, 5
6, 7, 8
2, 3, 4
5, 5, 5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a triangle has side lengths of 6, 6, and 9, does it form a right triangle?
Yes, because 6 + 6 equals 9
Yes, because it looks like a right triangle
No, because 6 and 9 are not equal
No, because 36 + 36 does not equal 81
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common misunderstanding about right triangles?
Right triangles have no hypotenuse
All triangles are right triangles
Right triangles have equal sides
Any triangle that looks like a right triangle is one
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following side lengths does not form a right triangle?
6, 8, 10
5, 12, 13
7, 24, 25
2, 8, 12
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you verify if a triangle is a right triangle using side lengths?
Check if all sides are equal
Check if the sum of the squares of the two shorter sides equals the square of the longest side
Check if the triangle has a 90-degree angle
Check if the sum of all sides is even
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