Question

in the figure below, b is between a and c, and c is between b and d. if bc = 5, ad = 10, and bd = 7, find ac. a b c d ac =

Explanation:

Step1: Find CD

Since $BD = BC + CD$, rearrange to get $CD = BD - BC$. Substitute values: $CD = 7 - 5 = 2$.

Step2: Find AC

Since $AD = AC + CD$, rearrange to get $AC = AD - CD$. Substitute values: $AC = 10 - 2 = 8$.

Answer:

8