Rhombus Kite Trapezoid 30° - 60° - 90° 45°- 45° - 90°

Slides:



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

L.E.Q. How do you find the areas of Trapezoids, Rhombuses, and Kites?
Areas of Triangles Trapezoids, Rhombuses, and Kites.
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.
Perimeter The perimeter of a polygon is the sum of the lengths of the sides Example 1: Find the perimeter of  ABC O A(-1,-2) B(5,-2) C(5,6) AB = 5 – (-1)
Unit 7 Part 2 Special Right Triangles 30°, 60,° 90° ∆s 45°, 45,° 90° ∆s.
Slide The Pythagorean Theorem and the Distance Formula  Special Right Triangles  Converse of the Pythagorean Theorem  The Distance Formula: An.
Geometry Section 9.4 Special Right Triangle Formulas
Pythagorean Theorem and Its Converse Objective To use the Pythagorean Theorem and its converse Essential Understanding: If you know the lengths of any.
MM2G1. Students will identify and use special right triangles.
Chapter 7.4 Notes: Special Right Triangles
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.
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.
Objective: To find the areas of rhombuses and kites.
6-5 Trapezoids and Kites M11.C C Objectives: 1) To verify and use properties of trapezoids and kites.
Special Right Triangles 5.5. Derive the leg lengths of special right triangles. Apply the ratios of the legs of special right triangles to find missing.
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.
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.
8.2 Special Right Triangles. Side lengths of Special Right Triangles Right triangles whose angle measures are 45°-45°-90° or 30°- 60°-90° are called special.
1 Trig. Day 3 Special Right Triangles. 2 45°-45°-90° Special Right Triangle 45° Hypotenuse X X X Leg Example: 45° 5 cm.
10-1 Areas of Parallelograms and Triangles
Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 =
Honors Geometry Section 5.5 Special Right Triangle Formulas.
In today’s lesson you will learn how to….. calculate the length of the hypotenuse in a right-angled triangle (grade C) calculate the length of a shorter.
8-2 Special Right Triangles Objective: To use the properties of and triangles.
Describes the relationship between the lengths of the hypotenuse and the lengths of the legs in a right triangle.
Area Chapter 7. Area of Triangles and Parallelograms (7-1) Base of a triangle or parallelogram is any side. Altitude is the segment perpendicular to the.
8-6 and 8-7 Square Roots, Irrational Numbers, and Pythagorean Theorem.
– 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.
The Pythagorean Theorem
Two Special Right Triangles
triangle.
5.4 Inequalities in One Triangle
7-4 Area of Trapezoids, Rhombuses, and Kites
Lesson 7 – 3: Special Right Triangles
8-2 Special Right triangles
Warm-Up! Find the length of the missing side. Write your answer in simplest radical form. 1.) 4 x
LT 5.7: Apply Pythagorean Theorem and its Converse
Objective: To find the area of a trapezoid, kite and a rhombus.
8-2 Special Right Triangles
7.4 Special Right Triangles
Lesson 8-2: Special Right Triangles
Objective: To find the areas of rhombuses and kites.
Math Humor.
Similar Figures Corresponding angles are the same. Corresponding sides are proportional.
8-3 Special Right Triangles
8-4: Special Right Triangles
Special Right Triangles
The General Triangle C B A.
45°-45°-90° Special Right Triangle
5-8 Special Right Triangles
Objective: To use the properties of 30°-60°-90° triangle.
Triangle Inequality Theorem
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.
Special Right Triangles
The General Triangle C B A.
Special Right Triangles
Special Right Triangles
Area of Trapezoids, Rhombuses, and Kites
Special Right Triangles
Special Right Triangles
Special Right Triangles
Right Triangle Bingo.
Special Right Triangles
Presentation transcript:

50 40 30 20 10 Rhombus Kite Trapezoid 30° - 60° - 90° 45°- 45° - 90°

In triangle ABC, is a right angle and 45°. Find BC In triangle ABC, is a right angle and 45°. Find BC. If you answer is not an integer, leave it in simplest radical form.

Find the length of the hypotenuse.

Find the length of the leg Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.

Find the lengths of the missing sides in the triangle.

Find the value of the variable Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

Find the value of each variable. 60° 30° x y 8 Shorter Leg 8 = 2x x = 4 Longer Leg y = x√3 y = 4√3

Find the lengths of a 30°-60°-90° triangle with hypotenuse of length 12. x 12 Shorter Leg 12 = 2x x = 6 Longer Leg y = x√3 y = 6√3

The longer leg of a 30°-60°-90° has length 18 The longer leg of a 30°-60°-90° has length 18. Find the length of the shorter leg and the hypotenuse. 18 30° 60° x y Shorter Leg Hypotenuse

Find the area of the trapezoid Find the area of the trapezoid. Leave your answer in simplest radical form. 5cm h 60° 7cm Find area. Find h.

Find the area of the trapezoid Find the area of the trapezoid. Leave your answer in simplest radical form. 11cm h 60° 16cm Find h. Find area.

A kite has diagonals 9.2 ft and 8 ft. What is the area of the kite?

Find the area of kite KLMN. KM=2+5=7 LN=3+3=6 N

Find the area of kite KLMN. KM=1+4=5 LN=3+3=6 N

Find the area of kite with diagonals that are 12 in. and 9 in. long.

Find the area of the rhombus.

Find the area of rhombus ABCD. AC=12+12=24 BD=9+9=18

Find the area of rhombus ABCD. AC=12+12=24 BD=5+5=10