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https://en.wikipedia.org/wiki/Pythagorean_triple

**A Pythagorean triple** consists of three positive integers a, b, and c, such that a^{2} +

b^{2} = c^{2}. ... 3.1 General properties; 3.2 **Special cases** .... Many formulas for

generating triples with particular properties have been developed since the time

of Euclid. ..... As for any right triangle, the **converse** of Thales' theorem says that

the ...

Sal introduces the famous and super important **Pythagorean theorem**! ... Practice:

Use **Pythagorean theorem** to find right triangle side lengths · Use **Pythagorean**

**theorem** to find area of an ..... In the **case** of 5, 12 and 13 : 5^2 + 12^2 = 25 + 144

= 169 = 13^2. Comment .... Yes, square root is the **inverse** of a square. Comment.

https://amsi.org.au/teacher_modules/Circle_Geometry.html

b: Which of the transformations in part a map a **particular** point P on script_l to

another .... Two practical **situations** to illustrate the **converse** theorem. A set of

points ..... The following theorem makes the **situation** clear, and uses **Pythagoras**'

**theorem** in its proof. .... i are one inside the other, ii touch internally, **iii** overlap, iv

touch ...

https://www2.clarku.edu/faculty/djoyce/trig/right.html

We can use **the Pythagorean theorem** and properties of sines, cosines, and ...

Let's first look at some **cases** where we don't know all the sides. ... On a calculator

, we use the **inverse** trig functions named arctangent, arcsine, and arccosine. .... (

ii) in terms of the apothem r, that is, the radius of the inscribed circle, and (**iii**) in ...

https://www.cliffsnotes.com/study-guides/.../circles/arcs-and-chords

Theorem 78: In a circle, if two chords are equal in measure, then their

corresponding minor arcs are equal in measure. The **converse** of this theorem is

also true. ... Figure **3 A** diameter that is perpendicular to a chord. ... OA = 13 and

AM = 5, OM can be found by using the **Pythagorean Theorem**. ... triple. In either

**case**, OM = 3.

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