Given a right triangle with:
Side length = 9 and Hypotenuse = 12
Calculate the remaining side:
Pythagorean Theorem Formula
Side12 + Side22 = Hypotenuse2
Solve for Side 2
Take the square root of both sides
Side 1 = √Hypotenuse2 - Side 22
Plug in Hypotenuse = 12 and Side 2 = 9
Side 1 = √122 - 92
Side 1 = √144 - 81
Side 1 = √63
Final Answer
Side 1 = 7.9372539331938
Common Core State Standards In This Lesson
8.G.B.6, 8.G.B.7, 8.G.B.8, HSF.TF.C.8, HSG.SRT.C.8
What is the Answer?
Side 1 = 7.9372539331938
How does the Pythagorean Theorem Calculator work?
Free Pythagorean Theorem Calculator - Figures out based on user entry the missing side or missing hypotenuse of a right triangle. In addition, the calculator shows the proof of the Pythagorean Theorem and then determines by numerical evaluation if the 2 sides and hypotenuse you entered are a right triangle using the Pythagorean Theorem
This calculator has 3 inputs.
This calculator has 3 inputs.
What 3 formulas are used for the Pythagorean Theorem Calculator?
a2 + b2 = c2
a2 = c2 - b2
b2 = c2 - a2
a2 = c2 - b2
b2 = c2 - a2
What 5 concepts are covered in the Pythagorean Theorem Calculator?
- length
- the measurement or extent of something from end to end
- pythagorean theorem
- a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides
a2 + b2 = c2 - side
- line segment joining two vertices in a polygon also known as an edge
- theorem
- A statement provable using logic
- triangle
- a flat geometric figure that has three sides and three angles
