Question

The points R(−4, −1) and S(2, −5) are two vertices of right triangle RST. The hypotenuse of the triangle is RS.

Point T is in quadrant 3.

What are the coordinates of point T?

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T( , )

Answer 1

      If RS is the hypotenuse of the triangle RST and point T is in Quadrant 3, then point T must be the intersection of the lines: x = - 4 and y = - 5.
       Therefore, the coordinates of point T are ( x, y ) = ( - 4, - 5 ) 
       Answer:
       T ( - 4, - 5 )

Answer 2

These two values form a coordinate for point T. Hence, the coordinates of point T will be  (-4, -5)

Coordinates of a triangle

According to the information given;

• RS is the hypotenuse
• The points R(−4, −1) and S(2, −5) are two vertices of right triangle RST

If RS is the hypotenuse of the triangle RST and point T is in Quadrant 3, then point T must be the intersection of the lines: x = - 4 and y = - 5.

     

These two values form a coordinate for point T. Hence, the coordinates of point T will be  (-4, -5)

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