Question

Solve for the variable(s) in the triangle below. Work needs to be showed

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The value of the variable x.

Given:

Opposite=x

Adjacent = x

Hypotenuse = 5

Step 1

Recall the Pythagoras theorem.

$opposite^2+adjacent^2=hypotenuse^2$

Step 2

Substitute the values into the formula.

$x^2+x^2=5^2$$2x^2=25$

Step 3

Divide both-side of the equation by 2.

$\begin{gathered} \frac{2x^2}{2}=\frac{25}{2} \\ \\ x^2=12.5 \end{gathered}$

Step 4

Take the square root of both-side.

$\begin{gathered} x=\sqrt{12.5} \\ \\ x\approx3.5 \end{gathered}$

ANSWER

3.5