Triangle abc has vertices with alx, 3).
b(-3,-1), and c(-1,-4). determine
and state a value of x that would make
triangle abc a right triangle. justify why
aabc is a right triangle. [the use of the
set of axes below is optional.]

x = 3

This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem.

Step-by-step explanation:

Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.  

We have to determine x.

Applying the Pythagoras Theorem,

AB² + BC² = AC² {If AC is the hypotenuse of the right triangle}

⇒ [(x + 3)² + 4²] + [(- 2)² + 3²} = (x + 1)² + 7²

⇒ x² + 6x + 38 = x² + 2x + 50

⇒ 4x = 12

⇒ x = 3 (Answer)

This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem. (Answer)

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

false

step-by-step explanation: