What is the value of "x"?

2 7 2\sqrt{7} 2 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

What is NOT the distance between the two points?

4 × 10 \sqrt{4\times10} 4 × 1 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 10 2\sqrt{10} 2 1 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

40 \sqrt{40} 4 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Challenge!- Find the length of line segment WZ if the cube has side lengths of 10 inches

10 2 10\sqrt{2} 1 0 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Pythagorean Theorem & Distance Formula

Authored by Jamie Chenoweth

Mathematics

9th Grade - University

50 Questions

CCSS covered

Used 29+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

T/F The Pythagorean Theorem for right triangles where c is the longest side is
c² = a² - b²

false

true

did you actually read the problem?

subtraction?

theoretical, so maybe not true

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the relationship between the sides in the Pythagorean Theorem shown?

a + b = c

a² + b² = c²

a² – b² = c²

a – b = c

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation correctly reflects the right triangle shown?

x² + 14² = 20²

14² + 20² = x²

14² – 20² = x²

x² – 14² = 20²

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation can be used to solve for "x"?

15² – x² = 21²

x² – 15² = 21²

15² + 21² = x²

21² – 15² = x²

Tags

CCSS.8.G.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which Pythagorean Triple does the picture illustrate?

4, 5, 6

2, 3, 4

3, 4, 5

1, 2, 3

9, 16, 25

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation CANNOT be used to find the length of the missing side?

12² + 13² = x²

x² + 12² = 13²

13² – 12² = x²

13² – x² = 12²

Tags

CCSS.8.G.B.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The Pythagorean Theorem ONLY works on which triangle?

obtuse

scalene

isosceles

right

equilateral

Tags

CCSS.8.G.B.8

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Pythagorean Theorem & Distance Formula

T/F The Pythagorean Theorem for right triangles where c is the longest side is
c² = a² - b²

What is the relationship between the sides in the Pythagorean Theorem shown?

Which equation correctly reflects the right triangle shown?

Which equation can be used to solve for "x"?

Which Pythagorean Triple does the picture illustrate?

Which equation CANNOT be used to find the length of the missing side?

The Pythagorean Theorem ONLY works on which triangle?

What is the opposite operation to squaring a number?

What is the side of a right triangle opposite the right angle?

What is the length of the hypotenuse in the triangle shown?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Pythagorean Theorem & Distance Formula

T/F The Pythagorean Theorem for right triangles where c is the longest side is c2 = a2 - b2

What is the relationship between the sides in the Pythagorean Theorem shown?

Which equation correctly reflects the right triangle shown?

Which equation can be used to solve for "x"?

Which Pythagorean Triple does the picture illustrate?

Which equation CANNOT be used to find the length of the missing side?

The Pythagorean Theorem ONLY works on which triangle?

What is the opposite operation to squaring a number?

What is the side of a right triangle opposite the right angle?

What is the length of the hypotenuse in the triangle shown?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

T/F The Pythagorean Theorem for right triangles where c is the longest side is
c² = a² - b²