Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (kaitlyn_nicole):

will fan/metal. Determine whether each set of numbers can be measure of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right.

OpenStudy (kaitlyn_nicole):

10, 11, 20

Directrix (directrix):

Determine whether each set of numbers can be measure of the sides of a triangle. Use the Triangle Inequality Theorem: One side of a triangle has measure less than the sum of the other two.

OpenStudy (kaitlyn_nicole):

so if the third number is less than the sum of the other two, it is a triangle?

Directrix (directrix):

10, 11, 20 Is 10 < 11 + 20 ? Is 11 < 10 + 20 ? Is 20 < 10 + 11 ? You need 3 yeses to go to the next step.

OpenStudy (kaitlyn_nicole):

so that is a triangle

OpenStudy (kaitlyn_nicole):

and how do i figure out what type of triangle

Directrix (directrix):

Any side could be the third side. That is why there are three questions to consider before declaring those as sides of triangles.

OpenStudy (kaitlyn_nicole):

ooh, and then you use my pythagorean theorem to find out if its acute, obtuse, or right? correct?

OpenStudy (kaitlyn_nicole):

yeah!

OpenStudy (kaitlyn_nicole):

thanks!

Directrix (directrix):

If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.

Directrix (directrix):

If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is an obtuse triangle.

Directrix (directrix):

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

OpenStudy (kaitlyn_nicole):

thanks dude!

Directrix (directrix):

20^2 < 10^2 + 11^2 So, what kind of triangle is it? @kaitlyn_nicole

OpenStudy (kaitlyn_nicole):

ummm, acute?

OpenStudy (kaitlyn_nicole):

because 400 < 244 is incorrect

Directrix (directrix):

Acute. yes.

OpenStudy (kaitlyn_nicole):

thanks!

Directrix (directrix):

You are welcome.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!