Question

-Quadratic Equations- (Ignore white scribble)A triangle whose base is equal to its height has an area of...

Answer 1

Step 1:

First, write the formula for the area of a triangle.

`\text{Area of a triangle = }\frac{base\text{ }*\text{ height}}{2}`

Step 2:

Base = x

Height = x

Area = 128

Step 3:

`\begin{gathered} \text{Area of a triangle = }\frac{base\text{ }*\text{ height}}{2} \\ 128\text{ = }\frac{\text{ x }*\text{ x}}{2} \\ \text{Cross multiply} \\ x^2\text{ = 128 }*\text{ 2} \\ x^2\text{ = 256} \\ F\text{ind the square root of both sides.} \\ x\text{ = }\sqrt[]{256} \\ x\text{ = 16 cm} \end{gathered}`

Final answer

Base = 16 cm

Height = 16 cm