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Chapter 1: Q. 103 (page 16)

In Problems 101–104, find the length of each side of the triangle determined by the three points P1 , P2 , and P3 . State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.)

P1=-2,-1,P2=0,7,P3=3,2

Short Answer

Expert verified

The length of sides of triangle are 217,34,34.

The triangle is a Right triangle.

Step by step solution

01

Step 1. Given Information

We have coordinates of vertices of triangle

P1=-2,-1,P2=0,7,P3=3,2

02

Step 2. Distance between P1 and P2

dP1,P2=-2-02+-1-72dP1,P2=4+64=68=217

03

Step 3. Distance between P2 and P3.

dP2,P3=0-32+7-22=34

04

Step 4. Distance between P1 and P3

dP1,P3=-2-32+-1-22=34

05

Step 5. Checking For Right triangle

342+342=217234+34=6868=68

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Most popular questions from this chapter

A cereal company finds that the number of people who will buy one of its products in the first month that it is introduced is linearly related to the amount of money it spends on advertising. If it spends \(40,000 on advertising, then 100,000 boxes of cereal will be sold, and if it spends \)60,000, then 200,000 boxes will be sold.

(a) Write a linear equation that relates the amount A spent on advertising to the number x of boxes the company aims to sell.

(b) How much advertising is needed to sell 300,000 boxes of cereal?

(c) Interpret the slope.

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P1=(a,a);P2=(0,0)

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x+7x-1=x+12

Baseball A major league baseball “diamond” is actually a square, 90 feet on a side (see the figure). What is the distance directly from home plate to second base (the diagonal of the square)?
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