Two angles of a triangle measure 15° and 85 °. What is the measure of the third angle
find the median: 66 74 75 78 82 89
as you can see we have two numbers, there is no middle number. What do we do? It is simple; we take the two middle numbers and find the average, ( or mean ). 75 + 78 = 153 153 / 2 = 76.
it is an example of splitting the middle term problem step 1: find the product of first and last term i.e. 6*10=60 step 2: find the factors of 60 in such a way that addition or subtraction of the factors is the middle term i.e. 19. factors 15 and 4 (15+4=19) step 3: Write the center term using the sum of the two new factors, including the proper signs. 6x2 + 15x + 4x + 10 step 4: Group the terms to form pairs - the first two terms and the last two terms. Factor each pair by finding common factors. 3x ( 2x + 5)+ 2(2x + 5) step 5 : Factor out the shared (common) binomial parenthesis (3x + 2) ( 2x + 5) (3x + 2) ( 2x + 5) is the required answer.