Question

ABCD is a rectangle. Find the length of each diagonals.

AC = c over 3
BD = 4 - c

Answer 1

Diagonals are congruent

|AC| = |BD|


`(c)/(3)=4-c\ \ \ |multiply\ both\ sides\ by\ 3\\\\\\ot3^1\cdot(c)/(\\ot3_1)=3(4)-3c\\\\c=12-3c\ \ \ |add\ 3c\ to\ both\ sides\\\\4c=12\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{c=3}\\\\|AC|=|BD|=(3)/(3)=1`