Estimating Square Roots and the Pythagorean Theorem

Estimating Square Roots and the Pythagorean Theorem

You have already learned to find the square root of perfect squares. 

​Let's Review!!

REVIEW: You will find the approximate square root of imperfect squares. 

REVIEW: Approximating Square Roots

REVIEW: Approximating Square Roots

Multiple Choice

The √20 is between which two integers?

• 2 & 3
• 3 & 4
• 4 & 5
• 5 & 6

Multiple Choice

The √40 is between which two consecutive whole numbers?

• 7 & 8
• 4 & 5
• 5 & 6
• 6 & 7

Multiple Choice

Estimate the square root.

• 4

• 5

• 6

• 7

Multiple Choice

Estimate the square root.

• 1
• 2
• 3
• 4

Multiple Choice

Estimate the square root.

• 4
• 5
• 6
• 7

Multiple Choice

Estimate the square root.

• 3
• 4
• 5
• 6

Multiple Choice

Estimate the square root.

• 9

• 10

• 11

• 12

Multiple Choice

In between what two integers is the square root of 77?

• 5 and 6
• 6 and 7
• 7 and 8
• 8 and 9

Multiple Choice

Estimate the square root.

• 4
• 5
• 6
• 7

Multiple Choice

Estimate the square root.

• 7
• 8
• 9
• 10

Multiple Choice

Estimate the square root.

• 4
• 5
• 6
• 7

Multiple Choice

Estimate √119 to the nearest integer

• 11

• 12

• 13

• 10

Multiple Choice

An imperfect square is a number whose square root is ___________.

• Even
• irrational
• Rational
• Odd

Multiple Choice

√81

• Rational
• Irrational

Multiple Choice

Pi

• Rational
• Irrational

Multiple Choice

√31

• Rational
• Irrational

​C is always across from the 90 degree angle.

Side a and b are called legs.

Multiple Choice

Sides a and b are called legs.

• true

• false

Multiple Choice

What is the name for side c?

• head

• body

• hippopotamus

• hypotenuse

Multiple Choice

Side c on a right triangle is ALWAYS the longest.

• true

• false

Multiple Choice

What is the formula used to solve for the hypotenuse?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

Multiple Choice

solve for x

• 5552363959656.
• 10
• 100
• 89

Multiple Choice

The Pythagorean Theorem is
a² + b³ = c⁴

• false
• true

Multiple Choice

Find the length of the missing side. 

• 25 cm
• 42 cm
• 52 cm
• 48 cm

Multiple Choice

What is the length of x?

• 5
• 7
• 8
• 25

Multiple Choice

a= 12, b= 35, c= ? Find c

• 32

• 37

• 19

• 20

Multiple Choice

solve for the value of y

• 13
• 5
• 23
• 10

Multiple Choice

Find the length of the missing side. 

• 48 in.
• 52 in.
• 16 in.
• 24 in.

Multiple Choice

_{^{Find the missing side}}

• 36
• 76.8
• 12
• 40