1 Answer

Gil Goldshlager · Answer 1 · 2023-12-12T22:12:31+0000

Answer:

x = 6 units

Explanations:

The triangle shown is a right angled triangle.

To make it obvious, it can be redrawn as shown below

The area of a right-angled triangle is given by the formula:

$\begin{gathered} \text{Area = }(1)/(2)* base* height \\ \text{Base = 6} \\ \text{Height = x} \\ \text{Area = 18 units}^2 \end{gathered}$

Substituting the necessary parameters into the formula

$\begin{gathered} 18\text{ = }(1)/(2)*6* x \\ 18\text{ = 3x} \\ x\text{ = }(18)/(3) \\ x\text{ = 6 units} \end{gathered}$

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