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} (2x^2)/(2)=(25)/(2) \\ \\ x^2=12.5 \end{gathered}`

Step 4

Take the square root of both-side.

`\begin{gathered} x=√(12.5) \\ \\ x\approx3.5 \end{gathered}`

ANSWER

3.5