Calculate the missing length on the right triangle. slove for c using the pythagorean theorem. hint a²+b²=c²

C= 10

Step-by-step explanation:

A=8

B=6

C= ?

1. Set up the equation for the Pythagorean theorem and fill in the variables.

8² + 6² = c

64 + 36 = 100

2. Square root 100.

Square root of 100 = 10

Answer = 10

Step-by-step explanation:

Skills needed: Exterior Angle Theorem, Triangle Geometry:

1) We need to solve for and there are 2 methods to do it. I will go over the fastest way (since it's better).

2) In order to use this theorem, we need to solve for the angle near . This angle would be , which is (since ).

=

3) Then, we can use the fact that (47 is the measure of the angle we just solved for.)

, so

Subtract 47 from both sides, and get

Hope you understood and have a nice day! :D

Note: I have attached one image that shows my work, and another image that shows the exterior angle theorem (which I created on a whiteboard). Hope you get it! If you have any questions, comment and I can answer it ASAP!