/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q49. Find the area of the triangle AB... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q49. (page 187)

Find the area of the triangle ABC.

A.10squareunitsB.12squareunitsC.14squareunitsD.16squareunitsE.Noneofthese

Short Answer

Expert verified

The area of the triangle is 14 square units.

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

The vertices from the graph are as follows:

A(x1,y1)=(2,3)B(x2,y2)=(1,鈭�3)C(x3,y3)=(鈭�3,1)

02

Step 2- Step description.

The area of the triangle can be calculated by the following formula:

A=12x1y2-y3+x2y3-y1+x3y1-y2

03

Step 3- Step description.

Substitute the values in the formula and simplify as follows:

A=12[x1(y2鈭�y3)+x2(y3鈭�y1)+x3(y1鈭�y2)]A=12[2(鈭�3鈭�1)+1(1鈭�3)+(鈭�3)(3+3)]A=12[2(鈭�4)鈭�2鈭�3(6)]A=12[鈭�8鈭�2鈭�18]A=12(鈭�28)A=鈭�14

As area cannot be negative then consider only the numerical value 14.

Therefore, the area of the triangle is 14 square units.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

For Exercises 11 and 12, use the table below that shows the number of kids registered for baseball and softball

The Westfall Youth Baseball and Softball League charges the following registration fees: ages 7-8, 45; ages 9-10, 55; and ages 11-14, 65.

Write a matrix for the registration fees and a matrix for the number of players.

Answer the question that was posed at the beginning of the lesson.

How are matrices used to make decisions?

Include the following in your answer:

  • The circumstances under which each vehicle best fits a person鈥檚 needs, and
  • An example of how matrices are used in newspapers or magazines.

For Exercises 36-39, use the following price list for one-day admissions to the community pool.

36. Write a matrix that represents the cost of admissions for residents and a matrix that represents the cost of admission for non-residents.

Find each value if fx=x2-3x+2.

f0

State the dimensions of each matrix.

10.6鈭�15鈭�23鈭�4
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.