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4.9 Pythagorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.
StartSquare itRoot itResult Square and Square Roots
Simplify each root below and identify as a positive root or a negative root.
Applies to Right Triangles Only! leg hypotenuse a b c 9.3 PYTHAGOREAN THEOREM
Find the missing side of the right triangle in the 1 centimeter grid below. 8 6 0 1 2 3 4 5 6 7 x
Find the missing side of the right triangle in the 1 centimeter grid below. 12 5 x 0 1 2 3 4 5 6 7
Find the missing side of the right triangle in the 1 centimeter grid below. 7 4 0 1 2 3 4 5 6 7 x
Find the length of the diagonal for a rectangle that measures 3 inches by 4 inches. 3 in. 4 in. x
Find the Hypotenuse To find the hypotenuse, solve for c.To find the hypotenuse, solve for c. 1) 2) a = 3, b = 4, find c.
Example: Find a leg You will not always solve for the hypotenuse (c). Sometimes you will have to find a leg (a or b). Example:
Example: Find a leg To find a leg, solve for a or b.To find a leg, solve for a or b. 1) 2) b = 30, c = 34 13 12 b
Practice: Pythagorean Theorem
Created by G. Antidormi 2003 The Pythagorean Theorem.
EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.
EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.
The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.
11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b.
Mr. C Does: Find length of missing side Steps: 1.Pythagorean Theorem 2.Substitute Numbers 3.Exponents 4.Solve for the variable 5.Square Root both sides.
10.5 – The Pythagorean Theorem. leg legleg hypotenuse hypotenuse leg legleg.
6-3 Warm Up Problem of the Day Lesson Presentation
Pythagorean Theorem Mr. Parks Algebra Support. Objective The student will be able to: Find the missing side of a right Triangle using the Pythagorean.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.
Algebra 12.5 The Pythagorean Theorem. Radical Review Simplify each expression. You try! = 5 = 8/3 = 28 = 9/5.
Section 3-5 p. 137 Goal – to solve problems using the Pythagorean Theorem.
Objective The student will be able to:
6-3 The Pythagorean Theorem Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Special Right Triangles. Draw 5 squares with each side length increasing by
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