Question

find the unknown length x in the following figures​

Answer 1

Answer:

x = 15.618

Step by step explanation:

x = BC

CASE(i)

AB²=AD²+BD²

5²=3²+BD²

25=9+BD²

BD²=25-9

BD²=16

BD=√16

∴BD=4

CASE(ii)

AC²=AD²+DC²

12²=3²+DC²

144=9+DC²

DC²=144-9

DC²=135

DC=√135

∴DC=11.618

BC=BD+DC

x = BD+DC

x = 4+11.618

∴x = 15.618

Hope it helps!