The Angles Of A Triangle Are In The Ratio 2:3:7. Find The Measure Of The Largest Angle.

The angles of a triangle are in the ratio 2:3:7. find the measure of the largest angle.

 

Answer:

105 degrees

Step-by-step explanation:

the ratio are 2n:3n:7n

(im just adding n to represent what is needed to be multiplied since this is a ration)

knowing that the sum of the angles of a triangle is 180, we set an equation

2n+3n+7n=180

simplified, we have

12n=180

divide both sides by 12 so that tbe n would be simplified

12n/12=180/12

simplified:

n=15

so we multiply it to the largest ratio to get the largest angle

(15)(7)=105 degrees

if you want to check, multiply the n to all the ratios and you will see that the sum will be 180

(7)(15)=105

(3)(15)=45

(2)(15)=30

105+45+30=180

180=180


Comments

Post a Comment

Popular posts from this blog

What Is An Example Of Korido

What is an example of korido   Korido   Example:            Korido is a form of Philippine literature or type of poem which is a part of Spanish influence. It is a generic term used for Filipino romance songs or poems, also known as metric romances. It consists of 8 syllables each line and four lines each paragraph. It is often recited as melodic poem. An example of a korido is "Ibong Adarna" which is a story of brotherhood their love for each other and their father. It was written during the Spanish Era and became part of mythologies and Philippine literature.              This korido was first known as the life experiences of the sons of King Fernando and Queen Valeriana of Kingdom Berbania. It talks about heroism, love, and mysteries. The story is centered on a bird known as Adarna who possess magical powers which can heal any sort of sicknesss the moment the bird opens its mouth and begin to sing. It is also the story of a prince named Juan, one of the three sons...
Read more

Moral Lesson In "The Three Princes"

Moral lesson in "The Three Princes"   In this story "The Three Princes" a Folktale from Saudi Arabia shows, how parents love their children unconditionally that all they wanted is the best for their future.  The story also shows that you must learn to be considerate to others feelings whenever you make a decision.   The story gives us the lesson that greediness will not make you win a quest, it will just make you lost the test. In making a decision always think twice and wisely and follow your heart , thats what the Princess when she chose the Old Russian to be his husband because for her the Old man from Russia considers what she feels as he said "the young woman, whose happiness is at stake, should have a say in that matter" he is the one who gives her the right to make her own decision. For related topic see links: brainly.ph/question/805109 brainly.ph/question/1082656 brainly.ph/question/532499
Read more

Theme / Message Of The Play "Friday" By Rebecca Black

Theme / message of the play "friday" by rebecca black   The message on the music video is the typical life of a teen that on Friday after class will go to a party. This is the time that students have a great time meeting people. Weather a family is conservative or liberated, the music video focuses on the recreation. This is the fun of being students.
Read more