Pythagoras Theorem

Pythagoras Theorem

8th Grade

15 Qs

quiz-placeholder

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Pythagoras Theorem

Pythagoras Theorem

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Hard

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How do you determine if three lengths can form a right triangle?

Check if the square of the longest length equals the sum of the squares of the other two lengths.

Ensure that all three lengths are equal.

Verify that the sum of the two shorter lengths is greater than the longest length.

Calculate the area of the triangle formed by the three lengths.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is an example of a set of lengths that cannot form a right triangle?

The lengths 2, 3, and 6

The lengths 3, 4, and 5

The lengths 5, 12, and 13

The lengths 6, 8, and 10

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is a right-angled triangle?

A triangle with all angles less than 90 degrees.

A triangle in which one of the angles is exactly 90 degrees.

A triangle with two equal sides and one angle greater than 90 degrees.

A triangle that has no equal sides.

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the converse of the Pythagorean theorem?

If a triangle has side lengths a, b, and c such that a² + b² = c², then the triangle is a right triangle.

If a triangle is a right triangle, then a² + b² = c².

If a triangle has side lengths a, b, and c such that a² + b² > c², then the triangle is an acute triangle.

If a triangle has side lengths a, b, and c such that a² + b² < c², then the triangle is an obtuse triangle.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the hypotenuse in a right triangle?

The shortest side of a right triangle.

The longest side of a right triangle, opposite the right angle.

The side adjacent to the right angle.

The side opposite the longest angle.

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What type of triangles can the Pythagorean theorem be applied to?

Acute triangles

Obtuse triangles

Right triangles

Scalene triangles

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the relationship between the sides of a 3-4-5 triangle?

The sides are in a ratio of 1:2:3

The sides satisfy the Pythagorean theorem: 3² + 4² = 5² (9 + 16 = 25)

The sides are equal in length

The sides form an isosceles triangle

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