Pythagorean theorem: find the perimeter

Learning Objectives Identify the legs and hypotenuse of a right triangle from a diagram or description. Apply the Pythagorean theorem to calculate the length of an unknown side of a right triangle. Calculate the perimeter of a right triangle by first finding a missing side length. Solve multi-step word problems involving the perimeter of right triangles. Express perimeters in exact form using simplified radical expressions. Distinguish between calculating the area and the perimeter of a right triangle. You need to build a triangular fence, but you only have the measurements for two sides. How do you buy the right amount of fencing? 📐 This tutorial connects two key geometric concepts: the Pythagorean theorem and perimeter. You will master using the famous a² + b² = c² formu...

TermDefinitionExample Right TriangleA triangle that has one angle measuring exactly 90 degrees.A triangle with angles of 30°, 60°, and 90°. LegsThe two sides of a right triangle that form the 90-degree angle. They are often labeled 'a' and 'b'.In a triangle with sides 3, 4, and 5, the sides with lengths 3 and 4 are the legs. HypotenuseThe side opposite the right angle in a right triangle. It is always the longest side and is labeled 'c' in the Pythagorean theorem.In a triangle with sides 3, 4, and 5, the side with length 5 is the hypotenuse. PerimeterThe total distance around the outside of a two-dimensional shape, calculated by adding the lengths of all its sides.For a triangle with sides of 5 cm, 12 cm, and 13 cm, the perimeter is 5 + 12 + 13 = 30 cm. Pytha...

The Pythagorean Theorem a^2 + b^2 = c^2 Use this formula to find a missing side of a right triangle when you know the lengths of the other two sides. 'a' and 'b' represent the legs, and 'c' represents the hypotenuse. Perimeter of a Triangle P = side_1 + side_2 + side_3 Use this formula to find the total length around a triangle. For a right triangle, this can be written as P = a + b + c.