Question

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

Answer 1

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

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\\√(a^2)=√(52)\\a=7.2`

Next:

`12^2+b^2=29^2\\144+b^2=841\\144-144+b^2=841-144\\b^2=697\\√(b^2)=√(697)\\b=26.4`

Now add together to find x:

`x=26.4+7.2\\x=33.6`

Finito.