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

Objectives of multiplication and division, Objectives After reading t...

Objectives After reading this unit, you should be able to 1. Explain the meaning of multiplication / division and interpret it in different contexts; 2. Convert symbo

If t2+t+1=0 , t=w,w 2 L.H.S (w+w 2 ) + (w 2 + w) 2 ........  1  + 1 ....

t=w,w 2 L.H.S (w+w 2 ) + (w 2 + w) 2 ........  1  + 1 ..... But every third term is of the form: (w 3n +w 3n ) 2 =22 There are nine such terms. Their sum is 36. The rema

Geometric interpretation of the cross product, Geometric Interpretation of ...

Geometric Interpretation of the Cross Product There is as well a geometric interpretation of the cross product.  Firstly we will let θ be the angle in between the two vectors a

How much does kristen have left after the money is taken out, Kristen earns...

Kristen earns $550 each week after taxes. She deposits 10% of her income in a savings account and 7% in a retirement fund. How much does Kristen have left after the money is taken

Angles, samuel left mauritius at 22:30 on saturday and travelled to london ...

samuel left mauritius at 22:30 on saturday and travelled to london (GMT) for 14h30min he had a stopover for 4 h in london and he continued to travel to toronto for another 6h20min

Express the product of -9p3r and the quantity 2p - 3r, Express the product ...

Express the product of -9p3r and the quantity 2p - 3r in simplified form. The translated expression would be -9p3r(2p - 3r). Noticed that the key word product means multiply.

Triple integral transformed, An elliptical galaxy has gravitational boundar...

An elliptical galaxy has gravitational boundaries defiend by 9x 2 +16y 2 +144z 2 =144. A black hole at the center of the galaxy is interacting with dark matter producing a radiatio

Application of interpolation and extrapolation, Application Interpolati...

Application Interpolation and extrapolation are widely used by businessmen, administrators, sociologists, economists and financial analysts. While interpolation hel

Prove that its inclination is given by cot = b cot - a, Two stations due...

Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot.  If α ,  β be the elevations of the top of the tower from these

Ronding off numbers, how to round off numbers to the nearest tens and to th...

how to round off numbers to the nearest tens and to the nearest hundred

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