Pythagorean Theorem

Pythagorean Theorem

8th Grade

15 Qs

quiz-placeholder

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Pythagorean Theorem

Pythagorean Theorem

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Medium

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the relationship between the sides of a 30-60-90 triangle?

1:2:3

1:√2:2

1:√3:2

1:√4:2

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a = 5 and b = 12, what is c?

10

12

13

15

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the length of the missing side if one leg is 6 and the hypotenuse is 10?

6

7

8

9

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the significance of the Pythagorean Theorem in real life?

It is used to calculate the area of triangles.

It is used in various fields such as construction, navigation, and physics to calculate distances and angles.

It helps in solving quadratic equations.

It is primarily used in theoretical mathematics.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

Yes, because 7² + 24² = 49 + 576 = 625 = 25².

No, because the longest side is not the hypotenuse.

Yes, because 7² + 25² = 49 + 625 = 674 = 24².

No, because 24² + 25² = 576 + 625 = 1201 = 7².

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are Pythagorean Triples?

Sets of three positive integers that satisfy the Pythagorean Theorem (a² + b² = c²)

Any three integers that can form a triangle

Three consecutive integers

Sets of three negative integers that satisfy the Pythagorean Theorem

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How can the Pythagorean Theorem be applied in coordinate geometry?

To find the area of a triangle formed by three points.

To determine the slope of a line between two points.

To calculate the distance between two points using the formula: d = √((x2 - x1)² + (y2 - y1)²).

To find the midpoint of a line segment between two points.

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