Find the lengths of the sides of the triangle pqr. p(0, 1, 5), q(2, 3, 4), r(2, −3, 1) |pq| = correct: your answer is correct. |qr| = correct: your answer is correct. |rp| = correct: your answer is correct. is it a right triangle? yes no is it an isosceles triangle? yes no

1. The values of |PQ|, |QR| and |RP| are 3, 3√5 and 6 respectively.

2. No.

3. No.

Step-by-step explanation:

The vertices of given triangle are P(0, 1, 5), Q(2, 3, 4), R(2, −3, 1).

Distance formula:

Using distance formula we get

The values of |PQ|, |QR| and |RP| are 3, 3√5 and 6 respectively.

In a right angled triangle the sum of squares of two small sides is equal to the square of third side.

Therefore PQR is not a right angled triangle.

In an isosceles triangle, the length of two sides are equal.

The measure of all sides are different, therefore PQR is not an isosceles triangle.