Answer:
the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle
Step-by-step explanation:
Hello, I think I can help you with this
If you know two points, the distance between then its given by:
Step 1
use the formula to find the length PQ
Let
P1=P=P(2, −3, −4)
P2=Q=Q(8, 0, 2)
the length PQ is 9 units
Step 2
use the formula to find the length QR
Let
P1=Q=Q(8, 0, 2)
P2=R= R(11, −6, −4)
the length QR is 9 units
Step 3
use the formula to find the length PR
Let
P1=P(2, −3, −4)
P2=R= R(11, −6, −4)
the length PR is 9.48 units
Step 4
is it a right triangle?
you can check this by using:
Let
side 1=side 2= 9
hypotenuse = 9.48
Put the values into the equation
Hence, the triangle is not a right triangle
Step 5
is it an isosceles triangle?
In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.
Now side PQ=QR, so this is a isosceles triangle
Have a great day
