177k views
2 votes
• plot the two points

• draw the hypotenuse
• complete the triangle
• use the Pythagorean theorem to find the distance between the
given points
• show all your work
• leave answers in simplest radical form.
1. (3, 4), (-2, 6)
У
61
.
2
10
8 9 10

1 Answer

4 votes

9514 1404 393

Answer:

√29

Explanation:

We can call the given points A(3, 4) and B(-2, 6).

The right triangle with segment AB as a hypotenuse can best be drawn along grid lines. Then the vertical leg is the difference of y-coordinates: 6-4 = 2, and the horizontal leg is the difference of x-coordinates: 3 -(-2) = 5.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.

AB² = 2² + 5²

AB² = 4 + 25 = 29

Taking the square root, we find the length of the line segment between the points to be ...

AB = √29

• plot the two points • draw the hypotenuse • complete the triangle • use the Pythagorean-example-1
User Mimosinnet
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories