Question

6 Find the height of the triangle pictured above, if the area is 12. Round your answer to the nearest tenth

Answer 1

The height of the triangle angle with an area of 12 square units and a base of 6 units is 4 units.

The figure in the image is a triangle.

It is a closed 2-dimensional shape with three sides.

The area of a triangle can be expressed as:

Area = 1/2 × base × height

Given that;

Base length = 6 units

Area = 12 square units

Height =?

Plug the given values into the above formula and solve for the height.

Area = 1/2 × base × height

12 = 1/2 × 6 × height

Simplifying, we get:

12 = 3 × height

Divide both sides by 3:

Height = 12/3

Height = 4 units

Therefore, the measure of the height is 4 units

Answer 2

We have that the area of a triangle is given by:

`A=(b\cdot h)/(2)`

We replace the values we know:

`12=(6\cdot h)/(2)`

Now, we solve for h:

`\Rightarrow h=4`

From this, we have that the height of the triangle is 4 units.