Enter the unknown value as ‘ x ‘ Show
Perpendicular side = Base side = Hypotenuse side = x = Pythagorean Theorem Calculator is a free online tool that displays the value of the unknown variable when the other two sides of the right-angle-triangle are given. BYJU’S online Pythagorean theorem calculator tool makes the calculations faster where it displays the value of the unknown side in a fraction of seconds. How to Use the Pythagorean Theorem Calculator?The procedure to use the Pythagorean Theorem calculator is as follows: Step 1: Enter the values of two sides in the input fields and enter “x” for the unknown side value Step 2: Click the button “Solve” to get the unknown side measure Step 3: The value of the variable “x” will be displayed in the output “x” field What is Pythagorean Theorem?The Pythagorean Theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides”. It defines the three sides of the right triangle, such as the perpendicular side, adjacent side (base), and the hypotenuse side. This theorem is mainly used to determine the length of the legs and the hypotenuse side. Read more on Pythagoras Theorem Standard FormulaThe standard formula to represent the Pythagorean Theorem is: Perpendicular2 + Base2 = Hypotenuse2 (or) a2 + b2 = c2 Frequently Asked Questions on Pythagorean Theorem CalculatorThe Pythagoras (or Pythagorean) theorem states that the square of the hypotenuse side of a right triangle is equal the sum of the squares of the other two sides of a right
triangle Pythagoras (or Pythagorean) Theorem is used for What is Pythagorean Triple?Pythagorean triples is a set of positive integers, such as a, b and c, that fits the rule: a^2 + b^2 = c^2 …..(1) For example, if a, b, and c are 3, 4, and 5 respectively, then by substituting these values in (1), we get: 3^2 + 4^2 = 5^2 9 + 16 = 25 25 = 25 Then, the given set of positive integers are called a Pythagorean Triple. Find the hypotenuse of a right triangle with this pythagorean theorem calculator. How do you get the hypotenuse from the pythagorean theorem?To calculate the hypotenuse, use the pythagorean theorem as follows: A2 + B2 = C2 A and B are the lengths of the legs of the triangle. C is the hypotenuse. Example: A right triangle with a length of Leg A as 50 inches and a length of Leg B as 50 inches has a hypotenuse of: 502 + 502 = C2 C2 = 5000 C = 70.7107 inches What is the Pythagorean Theorem?It's also known as Pythagoras' Theorem. The Pythagorean Theorem is an equation that solves for the length of the hypotenuse of a right triangle. Using this to find the hypotenuse has some very important uses for us in the real world. Real Life Uses for The Pythagorean Theorem 3-4-5 RuleUsed a lot in construction, the 3-4-5 rule is used to check to see if a measurment is square. The rule uses the pythagorean theorem to verify that a corner is 90 degrees. The rule states that if you measure 3 feet from a 90 degree corner in one direction, 4 feet in the other then the hypotenuse should be 5 feet. If it's not, then the corner isn't truly 90 degrees. You can plug 4 and 3 into the hypotenuse calculator to verify that the hypotenuse is 5. Pythagorean Theorem Calculator helps to find the unknown side length of a right-angled triangle when two side lengths are known. The Pythagorean Theorem gives the relation among the three sides of a right triangle and hence, is one of the most fundamental concepts of Geometry. What is the Pythagorean Theorem Calculator?Pythagorean Theorem Calculator is an online tool to determine any side of a right-angled triangle when the other two sides are given. Pythagorean Theorem sees use in several sister subjects such as Trigonometry. To use the Pythagorean Theorem calculatorchoose the side to be computed from the drop-down menu and enter the values in the input boxes. Pythagorean Theorem CalculatorWhat is Pythagorean Theorem?In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The hypotenuse is the side of the triangle opposite to the right angle. Furthermore, the length of the hypotenuse is greater than the length of the altitude and the length of the base. However, the length of the hypotenuse will be lesser than the sum of lengths of the remaining two sides. The Pythagorean Theorem is used in the field of architecture to ensure that the structures created are strong and robust. In the given \(\Delta ABC \),
To calculate the hypotenuse we simply plug in the values into the above equation. However, if we want to find the value of the base or the altitude we have to follow the steps given below.
How to Use the Pythagorean Theorem Calculator?Follow these steps which will help you to use the calculator.
Want to find complex math solutions within seconds? Use our free online calculator to solve challenging questions. With Cuemath, find solutions in simple and easy steps. Book a Free Trial Class Solved Examples on Pythagorean Theorem CalculatorExample 1: A right-angled triangle ABC, has base BC = 12 units, height AB = 5 units. What is the length of AC? Solution: By Pythagoras theorem we know that, AB2 + BC2 = AC2 AC2 = 52 + 122 AC = (52 + 122)½ = √(52 + 122) AC = 13 units. Answer: The length of AC is 13 units. Example 2: A right-angled triangle PQR, has angle Q = 90°. PQ = 8 units. PR = 10 units. Find QR. Solution: By Pythagoras Theorem we know that, PR2= PQ2 + QR2 102 = 82 + QR2 QR2 = 102 - 82 QR = (102 - 82)½ = √(102 - 82) QR = 6 units. Answer: The length of QR is 6 units. Similarly, you can use the Pythagorean Calculator calculator to find the hypotenuse of right-angled triangles with:
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☛ Math Calculators:How do you find the missing leg or hypotenuse?The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c . Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²) .
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