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Pythagoras - Foundations

46 Topics, 4 Skills

Values - Length of Hypotenuse (Squared Values)

Topic 1

Values - Length of Side (Squared Values)

Topic 2

Values - Either Missing Length (Radical)

Topic 3

Squares - Length of Hypotenuse (Squared Values)

Topic 4

Squares - Length of Side (Squared Values)

Topic 5

Squares - Either Missing Length (Radical)

Topic 6

Variables - Length of Hypotenuse (Squared Values)

Topic 7

Variables - Either Missing Length (Squared Values)

Topic 8

Variables - Length of Side (Radical)

Topic 9

Values - Length of Hypotenuse (Integer)

Topic 10

Values - Length of Side (Integer)

Topic 11

Values - Either Missing Length (Integer)

Topic 12

Squares - Length of Hypotenuse (Integer)

Topic 13

Values - Either Missing Length (Squared Values)

Topic 14

Values - Length of Hypotenuse (Radical)

Topic 15

Values - Length of Side (Radical)

Topic 16

Squares - Either Missing Length (Squared Values)

Topic 17

Squares - Length of Hypotenuse (Radical)

Topic 18

Squares - Length of Side (Radical)

Topic 19

Variables - Length of Side (Squared Values)

Topic 20

Variables - Length of Hypotenuse (Radical)

Topic 21

Variables - Either Missing Length (Radical)

Topic 22

Values - Length of Hypotenuse (Integer)

Topic 23

Values - Length of Side (Integer)

Topic 24

Values - Either Missing Length (Integer)

Topic 25

Squares - Length of Hypotenuse (Integer)

Topic 26

Squares - Length of Side (Integer)

Topic 27

Squares - Either Missing Length (Integer)

Topic 28

Variables - Length of Hypotenuse (Integer)

Topic 29

Variables - Length of Side (Integer)

Topic 30

Variables - Either Missing Length (Integer)

Topic 31

Squares - Perfect Squares

Topic 32

Perfect Squares as Square of Number

Topic 33

Squares - Perfect Squares Compare to Integer

Topic 34

Square Roots of Perfect Squares From Equation

Topic 35

Square Roots of Perfect Squares

Topic 36

Squares - Length of Side (Integer)

Topic 37

Squares - Either Missing Length (Integer)

Topic 38

Variables - Length of Hypotenuse (Integer)

Topic 39

Variables - Length of Side (Integer)

Topic 40

Variables - Either Missing Length (Integer)

Topic 41

Squares - Perfect Squares

Topic 42

Perfect Squares as Square of Number

Topic 43

Squares - Perfect Squares Compare to Integer

Topic 44

Square Roots of Perfect Squares From Equation

Topic 45

Square Roots of Perfect Squares

Topic 46

Pythagorean Equation from Squares - Either Missing Length (Radical)

Level 1

This math topic covers the application of the Pythagorean theorem to solve for missing side lengths in right triangles, specifically focusing on finding the square root of each side length from given equations. The problems present equations where students need to isolate and calculate the radical (square root) for the missing 'a' or 'b' values, given the sums of the squares of the other two sides. This practice integrates basic algebraic manipulations with the concepts of squares and square roots, aiding in building foundational skills in understanding Pythagorean relationships.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Squares - Either Missing Length (Radical)

Complete this topic with 80% correct, working as fast as you can! Results are immediate.

0:00.0

Find the radical (square root) for the value of 'a' in this equation

a2+52=92a^2 + 5^2 = 9^2

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