Question

Show that the points (0, 7, 10), (1, 6, 6) and (4, 9, 6) form an isosceles right-angled triangle

Answer 1

Answer:

Step-by-step explanation:

let the vertices of the triangle be A, B, & C

A = ( 0,7,10) B = ( 1,6,6) C = (4,9,6)

AB = 1 + 1 + 16 = 3 root2

BC = 9 + 9 = 3root2

AC = 16 + 4 + 16 = root36 = 6

two sides are equal so it is an isosceles tiangle

according to pythagarous therom

AC^2 = AB^2 + BC^2

6^2 = ( 3 root2 )^2 + ( 3 root2 )^2

36 = 18 + 18

36 = 36

so the given points can form an isosceles right angled triangle