Question

Find the missing side. Step by step please. Thanks

Answer 1

Answer:

$x= 33.6$

Step-by-step explanation:

Working on left triangle ABC:

Applying Pythagorean theorem:

$AC^2=AB^2+BC^2$

Plunging in values

$AC=29 \ and \  AB=12$

$29^2=12^2+BC^2$

$841=144+BC^2$

Subtracting both sides by 144.

$841-144=144+BC^2-144$

$841=BC^2$

Taking square root both sides.

$\sqrt{697}=\sqrt{BC^2}$

$BC=26.4$

Working on left triangle ABD:

Applying Pythagorean theorem:

$AD^2=AB^2+BD^2$

Plunging in values

$AD=14 \ and \AB=12$

$14^2=12^2+BD^2$

$196=144+BD^2$

Subtracting both sides by 144.

$196-144=144+BD^2-144$

$52=BD^2$

Taking square root both sides.

$\sqrt{52}=\sqrt{BD^2}$

$BD=7.2$

$x=BD+BC= 7.2+26.4 =33.6$