Question

Show that the following points taken in order form an isosceles triangle.
(i) A (5,4), B(2,0), C (–2,3) (ii) A (6,–4), B (–2, –4), C (2,10)

Answer 1

Answer:

1. 1/2(x1+(y2-y3)+x2(y3-y1)+x3(y2-y1)these a formula please do learn then solves the sum now let start
2. 1/2(

Answer 2

Answer:

triangle are isosceles

Step-by-step explanation:

A (5,4), B(2,0), C (–2,3)

AB = √(5-2)² + (4-0)² = √9 + 16 = √25 = 5

AC = √(5-(-2))² + (4-3)² = √49 + 1 = √50 = 5√2

BC = √(2-(-2))² + (0-3)² = √16 + 9 = √25 = 5

AB = BC

hence triangle is isosceles

A (6,-4), B(-2,-4), C (2,10)

AB = √(6-(-2))² + (-4-(-4))² = √8² = 8

AC = √(6-(2))² + (-4-10)² = √16 + 196 = √212 = 2√53

BC = √(-2-(2))² + (-4-10)² = √16 + 196 = √212 = 2√53

AC = BC

hence triangle is isoscelles