Question

Find the lengths of the sides of the triangle PQR. Is it a right triangle? Is it an isosceles triangle?

P(3, -2, -3),  Q(7, 0, 1),  R(1, 2, 1)

Answer 1

Step 1:

The vertices of triangle are .

Distance between two points on three dimensional plane is,

.

Find the lengths of the sides of the triangle by using above formula.

Find the length of .

Find the length of .

Find the length of .

Observe that the two sides of the triangle are equal.

The triangle is an isosceles triangle.

Solution:

The triangle is an isosceles triangle.