Question

the triangle formed in the points (1,1)(4,1)(1,5)
a)an equilateral triangle
b)an isosceles triangle
c)a right angle triangle
d) can't say​

Answer 1

Answer:

right angle triangle I have proven in the drawing

Answer 2

let A=(1,1)

B=(4,1)

C=(1,5)

AB=

$\sqrt(1 - 4) ^{2} + (1 - 1) {}^{2}$

=3

BC=

$\sqrt(4 - 1) {}^{2} + (1 - 5) {}^{2}$

=5

AC=

$\sqrt(1 - 1) {}^{2} + (1 - 5) {}^{2}$

=4

as

$bc {}^{2} = ac {}^{2} + ab {}^{2}$

it is forming pythagorean triple

it is right angle triangle