Question

Find the missing side​

Answer 1

72

Explanation:

Answer 2

72 units

Explanation:

The Pythagorean Theorem states that
`a^2+b^2=c^2` in a right triangle when a and b are the two legs and c is the hypotenuse (the longest side).

`a^2+b^2=c^2`

In the diagram, 30 measures one of the legs and 78 measures the hypotenuse. Plug these in as a and c.

`30^2+b^2=78^2\\900+b^2=6084`

Subtract 900 from both sides

`900+b^2-900=6084-900\\b^2=5184`

Take the square root of both sides

`900+b^2-900=6084-900\\√(b^2) =√(5184)\\b=72`

Therefore, the length of the missing side is 72 units.

I hope this helps!