Question

What are the answer to these when rounded to the nearest tenth

Answer 1

Answer:

$a=7.2\\b=26.4\\x=33.6$

Step-by-step explanation:

Use the Pythagorean theorem:

$a^2+b^2=c^2$

C is the hypotenuse, the side opposite the 90° angle. Insert values:

$a^2+12^2=14^2\\a^2+144=196\\a^2+144-144=196-144\\a^2=52\\\sqrt{a^2}=\sqrt{52}\\a=7.2$

Next:

$12^2+b^2=29^2\\144+b^2=841\\144-144+b^2=841-144\\b^2=697\\\sqrt{b^2}=\sqrt{697}\\b=26.4$

Now add together to find x:

$x=26.4+7.2\\x=33.6$

Finito.