Question

Find the missing side of this righttriangle.19X16x = √ [?]

Answer 1

GIVEN:

We are given a right triangle with the sides labeled as indicated.

Required;

To find the value of the missing side, x.

Step-by-step solution;

For any right angled triangle, the value of a missing side can be calculated using the Pythagoras' theorem, provided the other two sides are given.

The theorem states thus;

$\begin{gathered} c^2=a^2+b^2 \\ \\ Where; \\ c=hypotenuse,\text{ }a,b=other\text{ }sides. \end{gathered}$

We can now substitute and solve as follows;

$\begin{gathered} 19^2=x^2+16^2 \\ \\ 361=x^2+256 \\ \\ 361-256=x^2 \\ \\ 105=x^2 \end{gathered}$

Now we take the square root of both sides and we have;

$\begin{gathered} \sqrt{105}=\sqrt{x^2} \\ \\ x=\sqrt{105} \end{gathered}$

Therefore;

ANSWER:

$x=\sqrt{105}$