Problem: The sides of a triangle are 30,7030,7030,70, and 808080 units. If an altitude is dropped upon the side 80 , the larger segment cut off on this side is:
Answer Choices:
A. 626262
B. 636363
C. 646464
D. 656565
E. 666666 Solution:
Let hhh be the altitude and xxx, the smaller segment 302−x2=702−(80−x)2;x=15;80−x=6530^{2}-x^{2}=70^{2}-(80-x)^{2} ; x=15 ; 80-x=65302−x2=702−(80−x)2;x=15;80−x=65