Converse of the Pythagorean Theorem and Triangle Inequality Theorem

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Mathematics
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10th - 12th Grade
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Medium
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is one of the main objectives of the lesson?
To calculate the area of a triangle
To determine if side lengths can form a triangle using the triangle inequality theorem
To understand the properties of circles
To learn about the history of the Pythagorean theorem
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the triangle inequality theorem, what must be true for three side lengths to form a triangle?
The sum of any two sides must be less than the third side
The sum of any two sides must be equal to the third side
The sum of any two sides must be greater than the third side
The sum of all three sides must be equal
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If you have side lengths of 7, 8, and 15, can they form a triangle?
No, because 7 + 8 is greater than 15
Yes, because 7 + 8 is less than 15
Yes, because 7 + 8 is greater than 15
No, because 7 + 8 is equal to 15
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the converse of the Pythagorean theorem help determine?
If a triangle is equilateral
If a triangle is scalene
If a triangle is isosceles
If a triangle is a right triangle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For a triangle with sides 7, 9, and 12, is it a right triangle?
Yes, because 7^2 + 9^2 equals 12^2
No, because 7^2 + 9^2 does not equal 12^2
No, because 7^2 + 9^2 is less than 12^2
Yes, because 7^2 + 9^2 is greater than 12^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of triangle is formed if the square of the longest side is less than the sum of the squares of the other two sides?
Obtuse triangle
Acute triangle
Right triangle
Equilateral triangle
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given side lengths of 10, 16, and 14, what type of triangle is it?
Acute triangle
Obtuse triangle
Right triangle
Scalene triangle
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