Answer:
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)
Answer:
can you be my new master?
Step-by-step explanation:
Would it help if you wrote it as
?
Then you can cross multiply if you know how to do that.
1*x = (-11)(-3)
x = 33 but what happened to the 2 minus signs?
Remember that a ( - ) times a ( - ) = a plus. The two minus signs become a plus.
C' ( 0, 3)
A' ( 2 , 1)
C'A' = CA
C'A' = √(2^2 + 2^2) = √8 = 2√2
C'A' = CA = 2√2
