Q3E Find the area of the triangle be... [FREE SOLUTION]

91影视

Linear Algebra With Applications

Otto Bretscher

$Math Studyset 91影视 Explanations$ Math

5th Edition 路 442 pages

ISBN: 9780321796974

Chapter 6: Q3E (page 305)

Find the area of the triangle below.

Short Answer

Expert verified

Therefore, the Area of triangle is 13.

Step by step solution

Definition.

Basically, it is equal to half of the Area of the parallelogram.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

$A = 1 / 2 脳 b 脳 h$

Given.

Given Matrix,

$[\begin{matrix} 5 \\ 7 \end{matrix}] [\begin{matrix} 4 \\ 3 \end{matrix}] And [\begin{matrix} 10 \\ 1 \end{matrix}]$

To find the area of the triangle.

The area of this triangle is the same as the area of a triangle formed by

$[\begin{matrix} 5 \\ 7 \end{matrix}] - [\begin{matrix} 4 \\ 3 \end{matrix}] = [\begin{matrix} 1 \\ 4 \end{matrix}]$

And

$[\begin{matrix} 10 \\ 1 \end{matrix}] - [\begin{matrix} 4 \\ 3 \end{matrix}] = [\begin{matrix} 6 \\ - 2 \end{matrix}]$

Therefore,

$\frac{1}{2} d e t [\begin{matrix} 1 & 6 \\ 4 & - 2 \end{matrix}] = \frac{1}{2} . 26 \frac{1}{2} d e t [\begin{matrix} 1 & 6 \\ 4 & - 2 \end{matrix}] = 13$

Area of triangle is 13.

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

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Find the area of the triangle below.

Short Answer

Step by step solution

Definition.

Given.

To find the area of the triangle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Applied Mathematics

Logic and Functions

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.