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

Calculate the fourier cosine series, The Fourier series expansion for the p...

The Fourier series expansion for the periodic function, f ( t ) = |sin  t | is defined in its fundamental interval. Taking π = 3.142, calculate the Fourier cosine series app

Determine the angle, In parallelogram ABCD, m∠A = 3x + 10 and m∠D = 2x + 30...

In parallelogram ABCD, m∠A = 3x + 10 and m∠D = 2x + 30, Determine the m∠A. a. 70° b. 40° c. 86° d. 94° d. Adjacent angles in a parallelogram are supplementary. ∠A a

Discrete mathmatics, give an example of a relation R that is transitive whi...

give an example of a relation R that is transitive while inverse of R is not

What is larry''s salary after the raise, Larry earned $32,000 per year. The...

Larry earned $32,000 per year. Then he received a (3)1/4% rise. What is Larry's salary after the raise? If Larry earns a (3) 1/4 % (or 3.25%) raise, he will earn 103.25% of his

Operation, What is a characteristic of operation

What is a characteristic of operation

Arc length - applications of integrals, Arc Length - Applications of integr...

Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function.  As it's sufficiently easy to derive the formulas that we'

Calculate combinations and permutations, a. Cassie has seven skirts, five b...

a. Cassie has seven skirts, five blouses, and ten pairs of shoes. How many possible outfits can she wear? b. Cassie decides that four of her skirts should not be worn to school.

Find inverse laplace transform, Question: Find Inverse Laplace Transfor...

Question: Find Inverse Laplace Transform of the following (a) F(s) = (s-1)/(2s 2 +8s+13)     (b) F(s)= e -4s /(s 2 +1) + (1/s 3 )

Correlation coefficient, Correlation coefficient - These are numerical...

Correlation coefficient - These are numerical measures of the correlations existing between the independent and the dependent variables - These are better measures of corre

Statistic, Suppose that the probability of your favorite baseball player ge...

Suppose that the probability of your favorite baseball player getting a hit at bat is 0.45. Assume that each at bat is independent. What is the probability that he bats eight times

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