Question

What is the value of X? Answer options: 30,40, 38,24.

Answer 1

x=30

Explanation:

In right angle triangle by Pythagoras theorem

`hypotenuse^2=perpendicular^2+base^2`

In given figure

`hypotenuse=34\\base=16\\perpendicular=x`

Apply pythagorous theorem in given figure

`34^2=x^2+16^2`

`34^2-16^2=x^2`

`1156-256=x^2`

`x^2=900`

`x=30`

Answer 2

30 is answer.

Explanation:

We shall use Pythagorean theorem to find the value of x .

Pythagorean theorem triplets is given by

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

here in the question a=x ,b = 16 and c = 34

plugging these value in the above relation ,we get

`x^(2) +16^2 = 34^2`

`x^(2) =-16^2 +34^2`

`x^2 = -256+1156`

`x^2 = 900`

taking square root ,we get

x = 30

First option is the answer.