Question

Drag the yellow point until an accurate "height" of the triangle is drawn. What is the height?

Answer 1

Drag it untill you get a right triangle . this is where you get the height

Answer 2

The area of the triangle is
`\( 9.805 \)` square units.

To calculate the area of the triangle shown in the image, we can use the formula for the area of a triangle which is:

`\[\text{Area} = (1)/(2) * \text{base} * \text{height}\]`

From the image, we can see that the base of the triangle is labeled as
`5.3` units (assumed to be linear units) and the height
`h` is
`3.7` units. Let's perform the calculation step by step:

1. Identify the base and height of the triangle:

- Base
`\( b = 5.3 \)` units

- Height
`\( h = 3.7 \)` units

2. Insert the values into the area formula:

`\( \text{Area} = (1)/(2) * b * h \)`

`\( \text{Area} = (1)/(2) * 5.3 * 3.7 \)`

3. Perform the multiplication:

`\( \text{Area} = (1)/(2) * 19.61 \) (since \( 5.3 * 3.7 = 19.61 \))`

4. Calculate the final area:

`\( \text{Area} = 9.805 \)`

Now, let's compute this using a calculator to get the area of the triangle.

The area of the triangle is
`\( 9.805 \)` square units.