Question

Can someone help? and explain

no links

Answer 1

Explanation:

Triangle area formula: (base x height)/2

Base: 6-2=4

Height: 4-1=3

So, triangle area: (4x3)/2=6

Answer 2

The area of the triangle is 6 units²

Explanation:

In a plane (two dimensions) or a cartesian coordinate graph, the area of triangle can be mathematically written as:

`\displaystyle{\text{A} = (1)/(2) \cdot \left(b_2 - b_1\right) \cdot \left(h_2-h_1\right)}\\\\\displaystyle{\text{A} = (1)/(2) \cdot \Delta b \cdot \Delta h}`

Our initial base is 2 and our final base is 6. Hence,
`\Delta b` = 6 - 2 = 4 units.

Our initial height is 1 and our final height is 4. Hence,
`\Delta h` = 4 - 1 = 3 units.

Therefore:

`\displaystyle{\text{A} = (1)/(2) \cdot 4 \cdot 3}\\\\\displaystyle{\text{A} = 2\cdot 3}\\\\\displaystyle{\text{A} = 6 \ \: \text{units}^2}`