Presentation is loading. Please wait.

Presentation is loading. Please wait.

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.

Published byAllyson Pearson Modified over 8 years ago

Similar presentations

Presentation on theme: "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."— Presentation transcript:

1 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 Theorem x 2 = 6 2 + 8 2 x 2 = 36 + 64 x 2 = 100 x = 10 Find the positive square root. Substitute. Multiply. Add.

2 GUIDED PRACTICE for Example 1 Identify the unknown side as a leg or hypotenuse. Then, find the unknown side length of the right triangle. Write your answer in simplest radical form. 1. ANSWER Leg ; 4

3 GUIDED PRACTICE for Example 1 Identify the unknown side as a leg or hypotenuse. Then, find the unknown side length of the right triangle. Write your answer in simplest radical form. 2. hypotenuse; 213 ANSWER

Download ppt "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."

Similar presentations

Find hypotenuse length in a triangle EXAMPLE 1

Find hypotenuse length in a triangle EXAMPLE 1
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 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.
TODAY IN GEOMETRY… Warm Up: Simplifying Radicals

TODAY IN GEOMETRY… Warm Up: Simplifying Radicals
TODAY IN ALGEBRA 2.0…  Review: Pythagorean Theorem  Learning Target: Find all six trigonometric functions.  Independent Practice.

TODAY IN ALGEBRA 2.0…  Review: Pythagorean Theorem  Learning Target: Find all six trigonometric functions.  Independent Practice.
EXAMPLE 1 Find hypotenuse length in a 45-45-90 triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8 2 Substitute. 45-45-90.

EXAMPLE 1 Find hypotenuse length in a triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8 2 Substitute
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.

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 Pythagorean Theorem
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.

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.
The Pythagorean Theorem x z y. For this proof we must draw ANY right Triangle: Label the Legs “a” and “b” and the hypotenuse “c” a b c.

The Pythagorean Theorem x z y. For this proof we must draw ANY right Triangle: Label the Legs “a” and “b” and the hypotenuse “c” a b c.
EXAMPLE 2 Standardized Test Practice SOLUTION =+.

EXAMPLE 2 Standardized Test Practice SOLUTION =+.
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.

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.
EXAMPLE 2 Standardized Test Practice SOLUTION =+.

EXAMPLE 2 Standardized Test Practice SOLUTION =+.
Pythagorean Theorem By: Tytionna Williams.

Pythagorean Theorem By: Tytionna Williams.
Slide #1.

Slide #1.
About 2,500 years ago, a Greek mathematician named Pythagorus discovered a special relationship between the sides of right triangles.

About 2,500 years ago, a Greek mathematician named Pythagorus discovered a special relationship between the sides of right triangles.
8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.

8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.
6-3 Warm Up Problem of the Day Lesson Presentation

6-3 Warm Up Problem of the Day Lesson Presentation
Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles.

Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.

Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Pythagorean Theorem 5.4. Learn the Pythagorean Theorem. Define Pythagorean triple. Learn the Pythagorean Inequality. Solve problems with the Pythagorean.

Pythagorean Theorem 5.4. Learn the Pythagorean Theorem. Define Pythagorean triple. Learn the Pythagorean Inequality. Solve problems with the Pythagorean.

Similar presentations

Ads by Google