Answer:
Step-by-step explanation:
Remark
Use the parts of the inscribed triangle with the parts of the large triangle. Set up a proportion.
Proportion
6/(x + 7) = 8 / ( (x+7) + (x + 1) ) Simplify the right
Solution
6/(x + 7) = 8 / (2x + 8) Cross Multiply
6(2x + 8) = 8 (x + 7) Remove the brackets
12x + 48 = 8x + 56 Subtract 8x from both sides
12x - 8x + 48 = 56 Simplify
4x + 48 = 56 Subtract 48 from both sides
4x = 56 - 48
4x = 8 Divide by 4
4x/4 = 8/4
x = 2
