Question

So confused on thisss

Answer 1

x ≈ 4.5

Explanation:

First, use the Pythagorean theorem to find the missing variable with side 8 and hypotenuse 10.

a² + b² = c²

a² + 8² = 10²

Square the variables

a² + 64 = 100

Subtract 64 from both sides.

a² = 36

Take the square root of both sides.

a = 6.

Now we can find the other triangle and we now know that one side is 4 and the hypotenuse is 6.

a² + b² = c²

x² + 4² = 6²

Square the variables.

x² + 16 = 36

Subtract 16 from both sides.

x² = 20

Square root. (refresh if you don't see this part.)

`x=√(20)\\\text{Factor out a 2.}\\x=2√(5)`

Converted to decimal to the nearest tenth, the answer is

x = 4.5.

Now let's prove it.

`a^2+b^2=c^2\\\text{Substitute variables.}\\(2√(5))^2+4^2=6^2\\\text{Factor the 2 in.}\\(√(20))^2+4^2=6^2\\\text{Square the variables.}\\20+16=36\\\text{Add.}\\36=36`

Answer 2

2rootover5

Explanation:

just use pythagoraus theorem