Question

Find the value of x. Round the answer to the nearest tenth
if necessary

Answer 1

Answer:

a = 6.9

Step-by-step explanation:

When calculating the side of a triangle, use pythagoras theorem:

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

Seeing as you know one side and the hypotenuse, rearrange to make a or b the subject:

$a^2 = c^2 - b^2$

Plug known values in:

$a^2 = 8^2 - 4^2\\a^2 = 64 - 16\\a^2 = 48$

Square root both sides to find a:

$\sqrt{a^2} = \sqrt{48}\\a = \sqrt48\\a = 6.928\\a = 6.9$

Hope this helps!