Question

Graph a right triangle with two points forming the hypotenuse. using the sides find the distance between two points to the nearest 10th (if necessary) (5,-4) and (3,5) ANSWER ASAP (DRAW ON GRAPH!)

Answer 1

A right-angled triangle has one of its angle to be $90^o$.

• See attachment for the right-angled triangle
• The distance between the two points is 9.2 units

The points are given as:

$A = (3,5)$

$B =(5,-4)$

To have a right-angled triangle, then the third point must be at a right angle.

This means that:

• The x-coordinate of the third point will be the x-coordinate of A
• The y-coordinate will be the y-coordinate of B

From the given parameters, we have:

$A_x = 3$

$B_y = -4$

So, the coordinate of the third point is:

$C =(A_x,B_y)$

$C = (3,-4)$

See attachment for the right-angled triangle.

The distance between the two points is then calculated using the following distance formula

$d = \sqrt{(x_2 - x_1)^2+ (y_2 - y_1)^2}$

So, we have:

$d = \sqrt{(3-5)^2+ (5--4)^2}$

$d = \sqrt{85}$

$d = 9.2$

Hence, the distance between the two points is 9.2 units

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