Question

A triangle is formed through the points (-3,1),(-3,4) and (5,1). What is the length of the

triangle's hypotenuse.
square root of 11
square root of 24
square root of 55
square root of 73

Answer 1

Answer: square root of 73

Explanation:

Distance Between Two Points

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

The triangle formed by the given points is shown in the image below. The hypotenuse of the triangle is side BC. We must find the distance between the points (-3,4) and (5,1):

`d=√((5+3)^2+(1-4)^2)`

`d=√(8^2+(-3)^2)`

`d=√(64+9)`

`d=√(73)`

Answer: square root of 73