Question

What is the slope of the hypotenuse of triangle ABC

Answer 1

`-(3)/(2)`

Explanation:

From the figure

Hypotenuse in a right angled triangle, is the longest side of the triangle (or) the side which is opposite to the right angle

Hypotenuse is also equal to sum of squares of other two sides(Pythogores Theorem)

In the figure AB is the hypotenuse as it is longest and also opposite to the right angle C

Slope of 2 points (a,b) and (x,y)

`=(b-y)/(a-x)`

Here A=(-6,8) and B=(-2,2)

Therefore slope of AB

`=(8-2)/(-6-(-2)) =(6)/(-6+2) =(6)/(-4) =-(3)/(2)`

Therefore slope of the hypotenuse of triangle ABC= -1.5
`=-(3)/(2)`