Lesson 8-2: Special Right Triangles

Slides:



Advertisements
Similar presentations
Objectives Justify and apply properties of 45°-45°-90° triangles.
Advertisements

13.1 – Solving Right Triangles
TODAY IN GEOMETRY… Warm Up: Simplifying Radicals
TODAY IN GEOMETRY…  Practice: Solving missing sides using the Pythagorean Theorem  Learning Target 1: Use the Converse of the Pythagorean Theorem determine.
Today, I will learn the formula for finding the area of a rectangle.
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.
The Pythagorean Theorem. 8/18/20152 The Pythagorean Theorem “For any right triangle, the sum of the areas of the two small squares is equal to the area.
Slide #1.
Over Lesson 7–3 Determine whether the triangles are similar. Justify your answer. Determine whether the triangles are similar. Justify your answer. Determine.
About 2,500 years ago, a Greek mathematician named Pythagorus discovered a special relationship between the sides of right triangles.
Geometry Notes Lesson 5.1B Pythagorean Theorem T.2.G.4 Apply the Pythagorean Theorem and its converse in solving practical problems.
MM2G1. Students will identify and use special right triangles.
Lesson 6-4 Example Example 3 Determine if the triangle is a right triangle using Pythagorean Theorem. 1.Determine which side is the largest.
7-3 Special Right Triangles
Solving Radical Equations
Warm Up Find the value of x. Leave your answer in simplest radical form. 7 x 9 x 7 9.
Warm Up Find the value of x. Leave your answer in simplest radical form. x 9 7 x.
Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then.
Things to remember: Formula: a 2 +b 2 =c 2 Pythagorean Theorem is used to find lengths of the sides of a right triangle Side across from the right angle.
Simplify √ 196. If no answer exists, state “not real.” 14.
Unit 8 Lesson 9.4A Special Right Triangles
Radicals Area of Triangles Area of Parallelograms Pythagorean Theorem
Special Right Triangles EQ: How do you find the missing side lengths in special right triangles? M2 Unit 2: Day 1.
Special Right Triangles
WARM UP. 9.4 SPECIAL RIGHT TRIANGLES LEARNING OUTCOMES I will be able to find missing lengths of a triangle I will be able to find the missing.
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.
Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 =
6.5: RELATED RATES OBJECTIVE: TO USE IMPLICIT DIFFERENTIATION TO RELATE THE RATES IN WHICH 2 THINGS ARE CHANGING, BOTH WITH RESPECT TO TIME.
Algebra 2/TrigonometryName: __________________________ 13.5, 13.6 PracticeDate: ________________ Block: _____ 1) Method: _________________________2) Method:
11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.
Success Criteria:  I can identify the pattern of special right triangles  I can put answers in standard radical form to identify patterns Today’s Agenda.
Special Right Triangles Lesson 7-3: Special Right Triangles1.
Law Of Sines Lupita Jasso Wyatt Sharp Maria Arredondo.
– 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.
Holt McDougal Geometry 5-8 Applying Special Right Triangles Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form.
Bell Work 1/25 1) Find the value of x. Give the answer in simplest radical form 2) Find the values of the variables. Give your answers in simplest radical.
Two Special Right Triangles
triangle.
Warm-Up Find x. 2x+12 =6 12x=24 √25 = x.
Special Right Triangles
Find each value in simplified radical form. a) b)
Geometry Warm ups Simplify each radical to simplest radical form.
Daily Warmup Solve for x x2+7=43 Ans: x = ±6 64+x2=164
Pythagorean Theorem.
Objectives Justify and apply properties of 45°-45°-90° triangles.
8-2 Special Right Triangles
LEARNING GOALS – LESSON 7:1 EXAMPLE 1A: WRITING RATIOS
Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles.
The Pythagorean Theorem is probably the most famous mathematical relationship. As you learned in Lesson 1-6, it states that in a right triangle, the sum.
Math Humor.
Quiz Review.
8-4: Special Right Triangles
5-8 Special Right Triangles
5-8 Special Right Triangles
Warm Up Solve each equation
Drill: Tuesday, 1/13 For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify each expression
Objective: To use the properties of 30°-60°-90° triangle.
Standardized Test Practice
Chapter 7 – Special Right Triangles Review
Objective: To use the properties of 45°-45°-90° triangles.
9.2 A diagonal of a square divides it into two congruent isosceles right triangles. Since the base angles of an isosceles triangle are congruent, the measure.
Warmup - Simplifying Radicals
8-2 Special Right Triangles
Special Right Triangles
Lesson 7-6 Multiplying a Polynomial by a Monomial
Warm Up:.
Right Triangle Bingo.
Warm Up April 1st What is the hypotenuse if the leg lengths are a = 72 and b = 30? Simplify 72.
Presentation transcript:

Lesson 8-2: Special Right Triangles Students will use the properties of 45-45-90 and 30-60-90 triangles. Lesson 8-2: Special Right Triangles

Special Right Triangles

Steps for Special Right Triangles Label the triangle with the formulas Set the known side equal to the formula Solve for s. Plug s back in to unknown sides. Simplify into simplest radical form

45-45-90 Triangles

45-45-90 triangles What is the value of x?

45-45-90 Triangles

45-45-90 review Find the missing side lengths. Leave answers in simplest radical form.

30-60-90 triangles

30-60-90 triangles Find the values of the variables in simplest radical form.

30-60-90 Triangles