Question

Please help me with this problem and explain how to solve these

Answer 1

Option A:

The simplest radical form of x is $3\sqrt{15}$.

Solution:

Hypotenuse = 16 in

Two sides are 11 in and x.

To find the value of x:

Pythagoras theorem:

In a right angle triangle, the hypotenuse is equal to the sum of the other two sides.

$11^2+x^2=16^2$

$121+x^2=256$

Subtract 121 from both sides of the equation.

$121+x^2-121=256-121$

$x^2=135$

Taking square root on both sides of the equation.

$\sqrt {x^2}=\sqrt {135}$

$x=3\sqrt {15}$

Hence option A is the correct answer.

Hence the simplest radical form of x is $3\sqrt{15}$.