Let , and be three points in…

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Let

A(1,2,3)

B(4,6,6)

and

C(1,6,6)

be three points in space. (i) Calculate the three side lengths

AB,BC

and

CA

. (ii) On the basis of the lengths obtained in part (i), classify the triangle

ABC

as equilateral, isosceles or scalene. (iii) Find the perimeter of

\triangle ABC

to two decimal places.