solving right triangles we will be given information about a triangle and then have to find the...

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SOLVING RIGHT TRIANGLES •We will be given information about a triangle and then have to ﬁnd the remaining sides and angles. •We will develop new ways to ﬁnd the area of triangles. •We will apply the law of sines and law of cosines.

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Page 1: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

SOLVING RIGHT TRIANGLES

•We will be given information about a triangle and then have to find the remaining sides and angles.•We will develop new ways to find the area of triangles.•We will apply the law of sines and law of cosines.

Page 2: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

Page 3: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

SOH CAH TOA

ca = 29

A C

B

b = 21

Find: c, B,C

Page 4: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

Application Problems:

A rhombus with a perimeter of 40 cm has a 70 degree angle.Find the lengths of the diagonals.

What you know about a rhombus:•The diagonals are perpendicular bisectors of each other•The diagonals bisect the angles•All sides are congruent

Page 5: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

Application Problems:Find the measures of the acute angles of a right triangle whose whose shortest legs are 8 in. and 12 in.

Page 6: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

ANGLES OF ELEVATION

x

Angles of elevation are always from the horizontal line of sight!

Page 7: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

ANGLES OF DEPRESSION

x

Angles of depression are always from the horizontal line of sight!

Page 8: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

I look out of a building and see a bird flying above a tree with a 10 degree angle of elevation. The tree is 30 feet away. If I am 30 feet above the ground, how high is the bird?

Page 9: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

A lighthouse keeper notices a ship with a 5 degree angle of depression. If the lighthouse keeper is 25 meters above sea level, how far away is the ship?

Page 10: SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to

An isosceles trapezoid has sides with lengths in a ratio of 6:10:6:14.

Find the measure of the angle between a leg and the shorter base.

CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve

To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

4.3 Congruent Triangles We will… …name and label corresponding parts of congruent triangles. …identify congruence transformations

Students will be able to apply inequalities in two triangles

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TPACK Lesson: Triangles - Weeblycareyhenry.weebly.com/uploads/3/9/0/6/39064561/tpack_lesson.pdfStudents will be able to identify triangles by their sides and angles. Students will

all dates are subject to change # Chapter 4: Congruent ... · This chapter will deal with congruent triangles. 3. Formal Definition: Congruent Triangles a. Two triangles are congruent

Congruent Triangles - Amazon S3 · Identify congruent triangles ... you will prove three additional theorems about the congruence of right triangles: Angle-Leg, Leg-Leg, and Hypotenuse-Angle

September 30, 2009 Congruent Triangles. Objectives Content Objectives Students will review properties of triangles. Students will learn about congruent

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Objective: Students will be able to identify congruent ... · ... Congruent Triangles Objective: Students will be able to identify congruent triangles when given few measurements

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LESSON TWELVE: CONGRUENCE THE RIGHT WAY. CONGRUENCE As we have discovered, there are many congruence theorems for all types of triangles. As we will find

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& CONGRUENT TRIANGLES NCSCOS: 2.02; 2.03 U.E.Q: How do we prove the congruence of triangles, and how do we use the congruence of triangles solving real-life