Tillie Mertine asked, updated on January 3rd, 2022; Topic:
right triangle trigonometry

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Just the same, how do you do right triangle trigonometry on a calculator?

Into the bargain, how do you solve Sin Cos Tan and right triangles? **In any right angled triangle, for any angle:**

Hence, how do you find the missing side of a right triangle?

**How to find** the **sides** of a **right triangle**

How do you find the length of a triangle given two sides?

**Right Triangles and the Pythagorean Theorem**

"SAS" is when we **know two sides** and the **angle between** them. use The Law of Cosines to **calculate** the unknown **side**, then use The Law of Sines to **find the** smaller of the other **two angles**, and then use the three **angles** add to 180° to **find the** last **angle**.

"SSS" is when we **know** three **sides** of the **triangle**, and want to **find** the missing **angles**....**To solve an SSS ****triangle**:use The Law of Cosines first to **calculate** one of the **angles**. then use The Law of Cosines again to **find** another **angle**. and finally use **angles of a triangle** add to 180° to **find** the last **angle**.

We must use The Law of Cosines first to find any one of the three angles, then we can use The Law of Sines (or use The Law of Cosines again) to find a second angle, and finally Angles of a **Triangle** to find the third angle. See **Solving** "SSS" **Triangles** .

Each of these functions are derived in some way from **sine** and **cosine**. The **tangent** of x is defined to be its **sine divided by** its **cosine**: **tan** x = **sin** x **cos** x . ... The secant of x is 1 **divided by** the **cosine** of x: sec x = 1 **cos** x , and the cosecant of x is defined to be 1 **divided by** the **sine** of x: csc x = 1 **sin** x .

A **45** – **45** – 90 **degree triangle** (or isosceles right **triangle**) is a **triangle** with angles of **45**°, **45**°, and 90° and sides in the ratio of. Note that it's the shape of half a square, cut along the square's diagonal, and that it's also an isosceles **triangle** (both legs have the same length).

The Formula The Triangle Inequality **Theorem** states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

Triangle Inequality **Theorem**. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Just like the Law of Sines, the Law of Cosines works for any **triangle**, not just right **triangles**. In particular, the Law of Cosines can be used to find the length of the **third side of a triangle** when you know the length of **two sides** and the angle in between. To use the Law of Sines to find a **third side**: 1.

"**AAA**" is when **we** know all three angles of a **triangle**, but no sides. **AAA triangles** are impossible to **solve** further since there is nothing to show us size ... **we** know the shape but not how big it is.

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