Discussion Topic For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why?

Step-by-step explanation:

Given relationship is the Pythagorean theorem.

a and b are legs, c is the hypotenuse. The hypotenuse is the greatest side of the right triangle. The square of the hypotenuse is equal to the sum of the squares of the other sides.

We can substitute side measures in two ways:

or

The variable c has a fixed position so we can't have more than two ways.

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation:

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation: