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

Slides:



Advertisements
Similar presentations
Tuesday, February 2 Essential Questions
Advertisements

Objectives Justify and apply properties of 45°-45°-90° triangles.
Geometry B Chapter 8 Lesson: Special Right Triangles.
TODAY IN GEOMETRY…  Practice: Solving missing sides using the Pythagorean Theorem  Learning Target 1: Use the Converse of the Pythagorean Theorem determine.
Objectives Justify and apply properties of 45°-45°-90° triangles.
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.
Applying Special Right Triangles
MM2G1. Students will identify and use special right triangles.
Special Right Triangles
Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form
Types of 2 D Shapes and There Properties 1)A shape with 3 sides is called a triangle 2)A shape with 4 sides is called a quadrilateral 3)The general term.
Applying Special Right Triangles
Chapter 7.4 Notes: Special Right Triangles
Special Right Triangles Trigonometric Ratios Pythagorean Theorem Q: $100 Q: $200 Q: $300 Q: $400.
Special Right Triangles EQ: How do you find the missing side lengths in special right triangles? M2 Unit 2: Day 1.
Applying Special Right Triangles
8-2 Special Right Triangles Objective: To use the properties of and triangles.
SATMathVideos.Net A) only I B) only II C) II and III D) I, II and III If two sides of a triangle have sides of lengths 4 and 7, the third leg of the triangle.
– 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.
Objectives Justify and apply properties of 45°-45°-90° triangles.
triangle.
Special Right Triangles
9.2 Special Right Triangles
Applying Special Right Triangles
8-2 Special Right Triangles
5-8 Applying Special Right Triangles
7.4 Special Right Triangles
Lesson 8-2: Special Right Triangles
Applying Special Right 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.
Applying Special Right Triangles
Bellwork For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify each expression
Solving Problems Involving Geometry
Objectives Justify and apply properties of 45°-45°-90° triangles.
Class Greeting.
Applying Special Right Triangles
Objectives Use geometric mean to find segment lengths in right triangles. Apply similarity relationships in right triangles to solve problems.
Applying Special Right Triangles
9.2 Special Right Triangles
7.2 Isosceles and Equilateral Triangles
5-8 Special Right Triangles
5-8 Special Right Triangles
Drill: Tuesday, 1/13 For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify each expression
7.4 Special Right Triangles
Objective: To use the properties of 30°-60°-90° triangle.
Special Right Triangles
Applying Special Right Triangles
Chapter 7 – Special Right Triangles Review
Objective: To use the properties of 45°-45°-90° triangles.
Prerequisite Skills VOCABULARY CHECK Name the triangle shown. 1.
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.
Applying Special Right Triangles
Types of Triangles Thursday, 11 April 2019.
Types of Triangles Thursday, 11 April 2019.
8-2 Special Right Triangles
Special Right Triangles
Applying Special Right Triangles
Special Right Triangles
Applying Special Right Triangles
Applying Special Right Triangles
Applying Special Right Triangles
Do Now: Simplify the algebraic expression 16y6 + 4y4 – 13y
Warm-up Find the missing length of the right triangle if a and b are the lengths of the legs and c is the length of the hypotenuse. a = b = a = 2.
Applying Special Right Triangles
Right Triangle Bingo.
Presentation transcript:

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

Example 1A: Finding Side Lengths in a 45°- 45º- 90º Triangle Find the value of x. Give your answer in simplest radical form.

Example 1B: Finding Side Lengths in a 45º- 45º- 90º Triangle Find the value of x. Give your answer in simplest radical form.

Check It Out! Example 1C Find the value of x. Give your answer in simplest radical form.

Check It Out! Example 1D Find the value of x. Give your answer in simplest radical form.

A _____________ triangle is another special right triangle A _____________ triangle is another special right triangle. You can use an equilateral triangle to find a relationship between its side lengths.

Example 2A: Finding Side Lengths in a 30º-60º-90º Triangle Find the values of x and y. Give your answers in simplest radical form.

Example 2B: Finding Side Lengths in a 30º-60º-90º Triangle Find the values of x and y. Give your answers in simplest radical form.

Check It Out! Example 2C Find the values of x and y. Give your answers in simplest radical form.

Check It Out! Example 2D Find the values of x and y. Give your answers in simplest radical form.

Check It Out! Example 2E Find the values of x and y. Give your answers in simplest radical form.