Review for Radical Test Click on the screen to show the correct answer after you try each problem. Click to move to the next question.

Slides:

Advertisements

Similar presentations

If you had this equation, how would you move the 7.

Advertisements

Find hypotenuse length in a triangle EXAMPLE 1

TODAY IN GEOMETRY… Warm Up: Simplifying Radicals

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 1 Collecting Like Terms x + 2 = 3x x + 2 –x = 3x – x 2 = 2x 1 = x Original equation Subtract x from each side. Divide both sides by x2x.

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.

Lesson 7.3B M.3.G.2 Apply, using appropriate units, appropriate formulas (area, perimeter, surface area, volume) to solve application problems involving.

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

Chapter 7.1 & 7.2 Notes: The Pythagorean Theorem and its Converse

Pythagorean Theorem A triangle is a right triangle if and only if the sum of the squares of the lengths of the legs equals the square of the length of.

Quiz 1. Find the perimeter of the figure. 2. Find the area of the figure. 12 ft 4 ft5 ft 3. The perimeter of the triangle 4. The perimeter of the combined.

White Boards ♥Please get white boards, markers & erasers.

Apply the Pythagorean Theorem

7-3 Special Right Triangles

Algebra I Chapter 10 Review

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 And Focus on Also called an isosceles right triangle.

Solving Equations Foil & Conjugates Multiplying & Dividing Adding & Subtracting Simplifying

Bellwork 1) 2) 3) Simplify. Lesson 7.1 Apply the Pythagorean Theorem.

1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4

11/27/ : Special Right Triangles1 G1.2.4: Prove and use the relationships among the side lengths and the angles of 30°- 60°- 90° triangles and 45°-

Simplify √ 196. If no answer exists, state “not real.” 14.

EXAMPLE 3 Use a geometric mean Find the value of y. Write your answer in simplest radical form. SOLUTION STEP 1 Draw the three similar triangles.

Example The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation to.

*You will be able to find the lengths of sides of special right triangles And

Pythagorean Theorem and it’s Converse. Pythagorean Theorem Pythagorean Theorem: used for right triangles, it is a tool used to solve for a missing side.

Warm-Up Exercises 2. Solve x = 25. ANSWER 10, –10 ANSWER 4, –4 1. Solve x 2 = 100. ANSWER Simplify 20.

Jeopardy Pythag. Thm. Pythag. Thm. Apps Simplifying Radicals Inequalities Family Tree Of Numbers Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–5) Then/Now Example 1: Find the Hypotenuse in a 45°–45°–90° Triangle Key Concept: 45°–45°–90°

WARM UP What is the Pythagorean Theorem? You place a 10-foot ladder against a wall. If the base of the ladder is 3 feet from the wall, how high up the.

Algebra Core Review Day 8. Unit 17: Radicals How do you simplify radicals? When you add or subtract radicals they must be _______! How do you multiply.

4.8 “The Quadratic Formula” Steps: 1.Get the equation in the correct form. 2.Identify a, b, & c. 3.Plug numbers into the formula. 4.Solve, then simplify.

Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 =

EXAMPLE 2 Use the Pythagorean theorem A right triangle has one leg that is 2 inches longer than the other leg. The length of the hypotenuse is 10 inches.

SOLUTION Finding Perimeter and Area STEP 1 Find the perimeter and area of the triangle. Find the height of the triangle. Pythagorean Theorem Evaluate powers.

– Use Trig with Right Triangles Unit IV Day 2.

Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify expression. 3.

Objective: To use the Pythagorean Theorem to solve real world problems. Class Notes Sec 9.2 & a b c a short leg b long leg c hypotenuse 2. Pythagorean.

1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4

Use the Quadratic Formula to solve 3x2 + 23x + 40 = 0.

Review Problems Algebra 1 11-R.

7.4 Special Right Triangles

9-2 Pythagorean Theorem.

a2 + b2 = c2 Pythagorean Theorem c c b b a a

Mathayom 3 Test.

8-4: Special Right Triangles

6-3 The Pythagorean Theorem Pythagorean Theorem.

PROVING THE PYTHAGOREAN THEOREM

15.6 – Radical Equations and Problem Solving

Radical Equations and Problem Solving

10.3 and 10.4 Pythagorean Theorem

Standardized Test Practice

Warm UP Get a slip of paper from the chair. Follow the directions and answer the questions.

You will be given the answer. You must give the correct question.

Work out (if you can, simplify your answer) 8 6.

Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.

Radical Equations and Problem Solving

Chapter 8 Section 1 Recall the rules for simplifying radicals:

1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4

Right Triangle Bingo.

Right Triangles and Trigonometry

Review for Radical Test

Presentation transcript:

Review for Radical Test Click on the screen to show the correct answer after you try each problem. Click to move to the next question.

Name the set of numbers to which each real number belongs.

Simplify: 17

Simplify:

Simplify

-140

Simplify

The perimeter of the triangle in meters.

Simplify

Solve X = 121

Solve No solution

Solve a = 64

Identify whether the following three numbers make a right triangle. Prove! 4, 7, 8 No ; ≠ 8 2

Find the value of the hypotenuse of a right triangle when the legs are 9 feet and 12 feet respectively. C = 15 feet

The exact value of the distance between the points (-2,7) and (-3, -4).