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Chapter 1: Q. 101 (page 16)

In Problems 101鈥�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=-4,1,P3=-4,-3

Short Answer

Expert verified

The length of each side of triangle is6,4and213.

The triangle is a Right triangle.

Step by step solution

01

Step 1. Given Information

P1=2,1,P2=-4,1,P3=-4,-3

02

Step 2. Distance between P1 and P2

dP1,P2=2+42+1-12=36=6

03

Step 3. Distance between P2 and P3

dP2,P3=-4+42+1+32=16=4

04

Step 4. Distance between P1 and P3. 

dP1,P3=2+42+1+32=36+16=213

05

Step 5. Checking to see Right Triangle

62+42=2132

36+16=5252=52

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