Question

A triangle has vertices at (-3,-3), (-3,2), and (1,2)

Choose from the following all the possible ways to find the length of the hypotenuse of the triangle. Then calculate the actual length. Select all correct answers; more than one answer may be correct.

The length of the hypotenuse is 3.

Use the midpoint formula

Use the pythagorean theorem

The length of the hypotenuse is √20.

The length of the hypotenuse √41

Use the distance formula

Find the slope

Not possible.

Answer 1

The length of the hypotenuse is √41 and we can use the distance formula and Pythagoras theorem.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

A triangle has vertices at (-3,-3), (-3,2), and (1,2)

After plotting the points on a coordinate plane.

We will see a right-angle triangle.

The length of the hypotenuse using the distance formula:

$\rm H=\sqrt{(-3-1)^2+(-3-2)^2}$

H = √41

Using the Pythagoras theorem:

Hypotenuse² + Perpendicular² + Base²

Hypotenuse = √41

Thus, the length of the hypotenuse is √41 and we can use the distance formula and Pythagoras theorem.

Learn more about the triangle here:

brainly.com/question/25813512

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