Question

On the grid, A(-3,1), B(1,-2), and C(4,2) are connected. Kaire claims triangle ABC is a right isosceles triangle.​

Answer 1

• Yes its an isosceles triangle but not a right angle triangle.

part A:

`\sf AB^2 = (-2-1)^2 + (1+3)^2`

`\sf AB^2 =25`

`\sf AB =5`

`\sf AC^2 = (2-1)^2 + (4+3)^2`

`\sf AC^2 = 50`

`\sf AC = 5√(2)`

`\sf BC^2 = (2--2)^2 + (4-1)^2`

`\sf BC^2 = 25`

`\sf BC = 5`

Two sides are equal in the triangle of 5. Its an isosceles triangle.

part B:

if right angle triangle, then use the formula:

short side² + short side² = long side²

( 5√2 )² + 5² = ( 5√2 )²

75 = 50

Therefore, its not a right angle triangle.