Question

A (2, -1)

B (2, 5)
C (6, -1)
A right triangle is formed by the points shown.
Find the length of the hypotenuse, which is line segment BC.
A) 10
B)
400
C)
8
D)
52

Answer 1

The answer to your question is below.

Explanation:

Hypotenuse is the segment BC, then let's calculate its length.

dBC =
`\sqrt{(x2 - x1)^(2) + (y2 - y1)^(2)  }`

dBC =
`\sqrt{(-1 - 5)^(2) + (6 - 2)^(2)  }`

dBC =
`\sqrt{(-6)^(2) + (4)^(2)  }`

dBC =
`√(36 + 16)`

dBC =
`√(52)`

Hypotenuse =
`√(52)`