Question

( 1, 7) , ( 4, 2) , (-1, -1) & (-4, 4) are the vertices of a rectangle. Find
the length of its diagonals

Answer 1

Answer:

Ans is 2√17

Step-by-step explanation:

Let A(1,7), B(4,2), C(-1,-1), D(-4,4)

therefore the diagonals will be AC and BD

so by distance formula,

AC= √(-1-1)²+(-1-7)²

    = √4+64

    =√68=2√17

BD= √(-4-4)²+(4-2)²

    =√64+4

    =√68=2√17