Question

One method you can use to determine whether a triangle is a right triangle, given three side lengths, is to apply the Converse of the Pythagorean Theorem. Alternately, you can use trigonometric ratios. Show that the triangle in the diagram is a right triangle by using trigonometric ratios

Answer 1

3. One method you can use to determine whether a triangle is a right triangle, given three side lengths, is to apply the Converse of the Pythagorean Theorem. Alternately, you can use trigonometric ratios. Show that the triangle in the diagram is a right triangle by using trigonometric ratios. (Be sure to show all work and/or reasoning.)

Answer 2

you can check to see if \(a^2+b^2=c^2\) '
if it is, the it is a right triangle, if not , it is not

Answer 3

Haha I guess I never thought of that. Thanks!

Answer 4

\[16^2+63^2=65^2\] is either true of false
check it and see

Answer 5

yw

Answer 6

But Those are the lengths of the sides. Does it work that way too? I thought it only worked with angles. Maybe I'm just going insane.

Answer 7

yes, you are going insane
pythagoras pertains to the lengths of the sides, not the measure of the angles

Answer 8

the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse

Answer 9

Ok, thanks so much for your help! I've got it now.

Answer 10

yw