/*! 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} Q. 5 In Problems 3鈥�5, use the given... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Q. 5 (page 555)

In Problems 3鈥�5, use the given information to determine the three remaining parts of each triangle.

Short Answer

Expert verified

The three angles of the triangle are鈭�A鈮�52.4掳,鈭�B鈮�29.7掳,and鈭�C鈮�97.9掳.

Step by step solution

01

Step 1. Given Information

The sides of the triangle are AC=8,AB=10,andBC=8.

We have to determine the three remaining parts of the triangle which are three anglesA, B, and C.

02

Step 2. Finding ∠A

To find 鈭�A,we use the law of cosines formula which is role="math" localid="1647598615755" a2=b2+c2-2bccosA.

So,

82=52+102-2510cosA64-25-100=-100cosA-61-100=cosA0.61=cosAA=cos-10.61A鈮�52.4掳

03

Step 3. Finding ∠B

To find 鈭�B,we use the law of cosines formula which is b2=a2+c2-2accosB.

So,

role="math" localid="1647599050264" 52=82+102-2810cosB25-64-100=-160cosB-139-160=cosB0.86875=cosBB=cos-10.86875B鈮�29.7掳

04

Step 4. Finding ∠C

To find 鈭�C,we will use the sum of angles of a triangle which is 180掳.

So,

鈭�A+鈭�B+鈭�C=180掳52.4掳+29.7掳+鈭�C=180掳鈭�C鈮�180掳-82.1掳鈭�C鈮�97.9掳

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

Solve each triangle.

a=4,b=5,c=3

Area of a Segment Find the area of the segment (shaded in blue in the figure) of a circle whose radius is 8 feet, formed by a central angle of 70掳.

[Hint: Subtract the area of the triangle from the area of the sector to obtain the area of the segment.]

Find the area of the triangle. Round answer to two decimal places.

B=70掳,C=10掳,b=5

Solve each triangle.

a=2,b=2,c=2

Area of an ASA Triangle If two angles and the included side are given, the third angle is easy to find. Use the Law of Sines to show that the area K of the triangle with side aand angles A, B, and C is

K=a2sinBsinC2sinA
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

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.