Find the lengths of the sides of the triangle pqr. p(2, −3, −4), q(8, 0, 2), r(11, −6, −4) |pq| = incorrect: your answer is incorrect. |qr| = |rp| = is it a right triangle? yes no is it an isosceles triangle? yes no

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

35-60 students are taking math.