Question

Find the value of x to the nearest tenth

Answer 1

Look below.

Explanation:

Good ol' Pythagorean Theorem.

To find the short side of the larger triangle, we'll use this equation:

`a^(2) +b^(2) =c^(2) \\\\9^2+b^2=10^2\\81+b^2=100\\`

You can solve the rest on your own.

Use the same type of equation for the smaller triangle, except your b would be the hypotenuse, so that equation would look something like this:

`3^2+x^(2) = b^2`

Hope it helped! Also, there seems to be a help video, if you didn't understand this explanation, why don't you go ahead and watch it?

Answer 2

x ≈ 3.2

Explanation:

Using Pythagoras' identity in the right triangle on the left

let third side be h , then

h² + 9² = 10²

h² + 81 = 100 ( subtract 81 from both sides )

h² = 19

Using Pythagoras' identity in the right triangle on the right

x² + 3² = h²

x² + 9 = 19 ( subtract 9 from both sides )

x² = 10 ( take the square root of both sides )

x =
`√(10)` ≈ 3.2 ( to the nearest tenth )