Pythagorean Theorem & Distance Formula

^{Find the missing side}

• 9

• 41

• 
  

  $\sqrt{41}$
  

• 3

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Tags

CCSS.8.G.B.7

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Tags

CCSS.8.G.B.8

The Pythagorean Theorem is
a² + b³ = c⁴

• false
• true

Tags

CCSS.8.G.B.8

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Tags

CCSS.8.G.B.8

Which set of side lengths does not form a right triangle?

• 3, 4, 5

• 9, 12, 15

• 24, 32, 40

• 14, 15, 29

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

A(3,1) B(-2,-1) written correctly is:

• $\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

• $\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

Tags

CCSS.HSG.GPE.B.7

Find the approximate distance between (3, 24) and (7, 56) by rounding to the nearest tenth.

• 33.2

• 32.2

• 34.2

• 31.2

Approximate the distance between the two points on the graph. Round your answer to the nearest tenth.

• 6.3

• 6.5

• 6.7

• 16