Squares and the Pythagorean Relationship

Vocabulary and square values related to basic geometry and the Pythagorean theorem as presented in the lecture notes.

$$1^2$$

$$1$$

$$2^2$$

$$4$$

$$3^2$$

$$9$$

$$4^2$$

$$16$$

$$5^2$$

$$25$$

$$6^2$$

$$36$$

$$7^2$$

$$49$$

$$8^2$$

$$64$$

$$9^2$$

$$81$$

$$10^2$$

$$100$$

$$11^{2}$$

$$121$$

$$12^{2}$$

$$144$$

$$13^{2}$$

$$169$$

$$14^{2}$$

$$196$$

$$15^{2}$$

$$225$$

$$16^{2}$$

$$256$$

$$17^{2}$$

$$289$$

$$18^{2}$$

$$324$$

$$19^{2}$$

$$361$$

$$20^{2}$$

$$400$$

$$21^{2}$$

$$441$$

$$22^{2}$$

$$484$$

$$23^{2}$$

$$529$$

$$24^{2}$$

$$576$$

$$25^{2}$$

$$625$$

3.2 Exploring the Pythagorean Relationship

A process of using the sum of squared sides to determine if a triangle is a right triangle ($a^2 + b^2 = c^2$).

120, 160, 200 triangle evaluation

$14400 + 25600 = 40000$, confirming it is a right triangle.

Approximate value of hypotenuse for $1424$

$$C \approx 38\,cm$$