Question

What is the value of x? Round to the nearest tenth.

A. 24.8
B. 14.6
C. 5.9
D. 10.2

Answer 1

ans is d (19^2-256)^0.5=10.2

Answer 2

D. 10.2

Explanation:

Since the triangle is a right triangle we can use the Pythagorean theorem.

I will call the hypotenuse
`h`, so in this case:

`h=19`

and one leg will be
`l`, in this case:

`l=16`

and the unknown for this problem is the other leg which in the image is called
`x`.

So the formula for the Pythagorean theorem:

`h^2=l^2+x^2`

clearing for x:

`x^2=h^2-l^2\\x=√(h^2-l^2)`

substituting
`h=19` and
`l=16`:

`x=√(19^2-16^2)\\ x=√(361-256)\\ x=√(105)\\ x=10.2`

the value of x is option D. 10.2