Question

PLZZZZ HELP ASAP

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(6, -2) and (-1,4) After that write the numbers for leg 1 and 2 for the right triangle and then tell me the hypoenuse

Answer 1

9514 1404 393

Answer:

• distance between points: √85
• leg 1 (AC) = 7 units
• leg 2 (BC) = 6 units
• hypotenuse (AB) = √85 units

Explanation:

When the points are not on the same horizontal or vertical line, a right triangle can be formed by a horizontal line through one point and a vertical line through the other point. Here, we have labeled the given points A and B, and identified the intersection of those horizontal and vertical lines as point C.

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Leg 1 will be AC. Its length is the difference of the x-coordinates of A and C (or A and B, if you like): 6 -(-1) = 7.

Leg 2 will be BC. Its length is the difference of the y-coordinates of the points: (4 -(-2)) = 6.

The hypotenuse is AB. Its length is given by the Pythagorean theorem as ...

AB² = AC² +BC²

AB² = 7² +6² = 49 +36 = 85 . . . . . fill in the numbers

AB = √85 . . . . . . . . . . . . . . . . . . take the square root

The length of the hypotenuse AB is √85.