Question

Two vertices of a right triangle have coordinates (3, 7) and (3, 10) . The segment that connects these points is a leg of the triangle.
Which set of coordinates for the third vertex would create a right triangle?

​ (8, 7) ​
​ (7, 8) ​
​ (4, 4) ​
​ (4, 8) ​

Answer 1

Answer:

The correct option is 1. The set of coordinates for the third vertex would create a right triangle is (8,7).

Step-by-step explanation:

It is given that two vertices of a right triangle have coordinates (3, 7) and (3, 10) . The segment that connects these points is a leg of the triangle.

The x-coordinate is same for both vertices, therefore it is a vertical line.

Two legs of a right angled triangle are perpendicular to each other. It means the next leg is a horizontal line.

So the value of y-coordinate of third point is either 7 or 10.

From the option it is clearly noticed that the point (8,7) has 7 as y-coordinate.

Therefore the correct option is 1. The set of coordinates for the third vertex would create a right triangle is (8,7).

Answer 2

(8,7) because one of the vertices would have to be perpendicular to the new coordinate