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

How to multiplying monomials, How to Multiplying Monomials? To multiply...

How to Multiplying Monomials? To multiply monomials: Step 1: Multiply the coefficients. Step 2: Multiply the like variables by adding their exponents. Step 3: Multiply ans

Bernoulli differential equations, In this case we are going to consider dif...

In this case we are going to consider differential equations in the form, y ′ +  p   ( x ) y =  q   ( x ) y n Here p(x) and q(x) are continuous functions in the

Illustrate exponential distribution, Q. Illustrate Exponential Distribution...

Q. Illustrate Exponential Distribution? Ans. These are two examples of events that have an exponential distribution: The length of time you wait at a bus stop for the n

Determine matrix of transformation for orthogonal projection, Determine the...

Determine the matrix of transformation for the orthogonal projection onto the line L that passes through the origin and is in the direction Û=(3/13 , 4/13 , 12/13). Determine the r

The length of the field is 2 more than twice the width field, Samantha owns...

Samantha owns a rectangular field that has an area of 3,280 square feet. The length of the field is 2 more than twice the width. What is the width of the field? Let w = the wid

Find the angle of elevation, A 50-foot pole casts a shadow on the ground. ...

A 50-foot pole casts a shadow on the ground. a) Express the angle of elevation θ of the sun as a function of the length s of the shadow. (Hint you may wish to draw this firs

How many different words can be formed out from varanasi, Determine how man...

Determine how many different words can be formed out of the letters of the word VARANASI? Ans: 720 different words can be formed out of the letters of the word VARANASI.

Division, Why do we start dividion operation from left to right?

Why do we start dividion operation from left to right?

the demand forecast, The King Company is producing two types of products: ...

The King Company is producing two types of products: A and B. Both products are produced on the similar machining operation. The machines operate on two 8-hour shifts, 5 days per w

Trigonometry, what are reason inside a circle?

what are reason inside a circle?

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