Question

The points (0,8), (0,0) and (15,0) are vertices of right angled triangle true or false

Answer 1

Answer:

True

Step-by-step explanation:

Suppose the three points are A(0,8) B(0,0) and C(15,0) then:

To find if these form a right angle triangle :

                 

  Formula to be used    : to check   AB² + BC² = CA²

So lets find distance for each:

    AB= √(x2-x1)² + (y2-y2)²

          = √(0-0)² + (0-8)²

          =  √(-8)²

          = √64

          = 8

BC= √(15-0)² + (0-0)²   (Using same formula)

          = √225

          =  15

         

CA = √(15-0)² + (8-0)²  (Using same formula)

     =  √225 + 64

      =  √289

      = 17

Check the equality :  ->  AB² + BC² = CA²

                                         8²    +   15² =  17²

                                        64    +    225 = 289 -> CA²

So as this equality turned out to be true the answer is true........

Hope this helps you:)

All the best dear!!

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