Right Triangle | Properties, Proof & Theorems - Lesson - Study.com
2023年11月21日 · A triangle may be proven to be a right triangle by employing the converse of the Pythagorean theorem: that is, if the square of the hypotenuse is equal to the sum of the squares of the two ...
Hypotenuse of a Right Triangle | Steps & Examples - Lesson
2023年11月21日 · The Pythagorean Theorem states that the sum of the square of two legs in a right triangle equals the square of the hypotenuse. This looks like {eq}a^2 + b^2 = c^2 {/eq} where a and b are the legs ...
Solving Right Triangles | Overview, Methods & Examples
2023年11月21日 · The theorem states that in a right triangle with hypothenuse (the biggest side in a right triangle) measuring {eq}x {/eq} and legs (the other two sides) of lengths {eq}y {/eq} and {eq}z, {/eq} the ...
How to Find the Area of a Right Triangle Using the Pythagorean …
Steps to Finding the Area of a Right Triangle Using the Pythagorean Theorem. Step 1: Because you must find all three side lengths of the triangle, begin by labeling those side lengths a, b, and c ...
How to Derive the Equation of a Circle Using the Pythagorean …
Steps for Deriving the Equation of a Circle Using the Pythagorean Theorem. Step 1: Let {eq}(h,k) {/eq} be the given center of the circle and {eq}(a,b) {/eq} be the given point on the circle.From ...
Sides of a Right Triangle | Overview & Formula - Lesson - Study.com
2023年11月21日 · In this lesson, we learned about how to use the Pythagorean Theorem to find the value of the shorter sides of a right triangle. The Pythagorean Theorem is A ^2 + B ^2 = C ^2.
Pythagorean Theorem | Definition, Method & Examples - Lesson
2023年11月21日 · The Pythagorean Theorem tells us that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. In equation form, it is a ^2 + b ^2 = c ^2. Right ...
Converse of the Pythagorean Theorem | Overview & Examples
2023年11月21日 · The Pythagorean Theorem states that if a triangle is a right triangle, then {eq}a^2 + b^2 = c^2 {/eq} where a and b are the lengths of the legs of the triangle and c is the length of the ...
Pythagorean Theorem | Model, Chart & Importance - Study.com
2023年11月21日 · An example of the Pythagorean theorem would be the right triangle with the side lengths of 3, 4, and 5. The legs, 3 and 4, are squared to be 9 and 16. Then add 9 plus 16 which equals 25.
How to Find the Length of a Hypotenuse Using the Pythagorean …
The hypotenuse is also the longest side of the triangle. Pythagorean Theorem: The Pythagorean Theorem is a formula to determine the lengths of the sides of a right triangle. The formula is {eq}a^2 ...