Question

Somebody please help me out.

Answer 1

The length of x is option 1. 24.8.

Step-by-step explanation:

Step 1:

We determine the value of the base for the right triangle first.

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Assume the base of the right triangle is y.

The hypotenuse measures 18 units while the other sides are 13 units and y units.

Step 2:

According to the Pythagorean theorem,

$18^{2} = y^{2} + 13^{2} , y^{2} = 18^{2} - 13^{2} .$

$y^{2} = 155, y = 12.44.$

So y equals 12.44 units but as y is only the base length for one of the triangles,

$x = 2y = 2 (12.44) = 24.88.$

Rounding off 24.88 we get 24.9 which is closest to 24.8.So the length of x is option 1. 24.8.