Question

Find the unkown length x in the following figures​

Answer 1

Answer:

35

Explanation:

in the figure, AD divide BC in equal parts.

ADB is an right angle triangle.

${37}^{2} = {12}^{2} + {bd}^{2} \\ 1369 = 144 + {bd }^{2} \\ 1369 - 144 = {bd}^{2} \\ 1225 = {bd}^{2} \: \: \: squaring \: on \: both \: sides \\ 35 = bd \\ bd = 35 \\ bd = dc = 35 \\ bc = bd + dc \\ bc = 35 + 35 \\ bc = 70 \\ bc = x = 70$