What is common triangles, Mathematics

Assignment Help:

Q. What is Common Triangles?

Ans.

Some triangles appear more commonly than others. You will come across two triangles repeatedly as you learn more about trigonometry.

The most common isosceles triangle found in trigonometry is constructed with the two equal sides both of length 1 with an interior right angle.

2105_What is Common Triangles.gif

We can use the Pythagorean Theorem to determine the length of the missing side.

12 + 12 = x2
1 + 1 = x2
2 = x2

√2 = √x2

√2 = x

The length of the missing side is

1188_What is Common Triangles1.gif


What are the missing angles?

Recall from geometry that if a triangle has two sides of equal length, the angles opposite those sides must be equal to each other.

2042_What is Common Triangles3.gif

Since the sum of the interior angles of a triangle must equal 180o , we have:

90o + 2x = 180o
2x = 180o - 90o
2x = 90o
x = 45o

The missing angles are 45o , or radians. This is because

1244_What is Common Triangles4.png


Related Discussions:- What is common triangles

Find the constant rate of 0.01 , Two people are 50 feet separately.  One of...

Two people are 50 feet separately.  One of them begin walking north at rate so that the angle illustrated in the diagram below is changing at constant rate of 0.01 rad/min. At what

What is geometry formula to estimate distance, Danielle requires knowing th...

Danielle requires knowing the distance around a basketball court. What geometry formula will she use? The perimeter of a rectangle is two times the length plus two times the wi

How many more miles did he run today, Kevin ran 6.8 miles yesterday and 10....

Kevin ran 6.8 miles yesterday and 10.4 miles presently. How many more miles did he run today? To ?nd out how many more miles he ran today, subtract yesterday's miles from today

Toplogy, Let 0 ! V1 !    ! Vk ! 0 be a long exact sequence of vector spa...

Let 0 ! V1 !    ! Vk ! 0 be a long exact sequence of vector spaces with linear maps. Show that P (??1)i dim Vi = 0.

Example of circles - common polar coordinate graphs, Example of Circles - C...

Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle

Real exponents, It is a fairly short section.  It's real purpose is to ackn...

It is a fairly short section.  It's real purpose is to acknowledge that the exponent properties work for any exponent.  We've already used them on integer and rational exponents al

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd