Question

After your friend confirms the 11 a.m. get-together at the library, you receive an email with some specific questions, so you know what to expect when you get there.

Here's the email:

Answer 1

1: the third has the length of the sides times the square root of 2
2:yes
3 yes
4: Specific ratios of side lengths, the rules associated with those specific ratios

Answer 2

@Rback One teaching example for each of the four questions, which includes step by step instructions written in complete sentences.

If I know the lengths of two sides of a right triangle, how do I find the third?
Could I find the two missing side lengths of a right triangle if I only know one side length and one angle measure (other than the 90 degree angle)?
Could I find the two missing angle measures if I know some of the side lengths of a right triangle?
What makes a triangle a “special” right triangle? How can special right triangles help me find side lengths?

Answer 3

@Rback

Answer 4

I told ya! 1: Third side = regular side * sqrt(2)
2: regular side= third side /sqrt(2)
3:yes, if you knew two side lengths you can solve for anything
4: a special triangle has either 45 degree angles or 30 60 90 degree angles, or the side lengths are ratios of 5:12:13 or 3:4:5

Answer 5

thank you