Question

Helpp i need this asap!!!

Answer 1

10.7 ft²

Explanation:

The most important formula you'll need to solve this is
`(1)/(2)`*b*h which is the formula for solving the area of a 2 dimensional triangle.

Finding the base:

The base of the 2-dimensional base is 2

The height of the 2-dimensional base is 1.7

Using
`(1)/(2)`*b*h, we get
`(1)/(2)`*2*1.7 which equals 1.7

The area of the 2 dimensional base is 1.7

Finding the lateral faces:

The lateral faces are all the same sizes so we'll just find the area of 1 and multiply it by 3.

The base of a lateral face is 2

The height of a lateral face is 3

Using
`(1)/(2)`*b*h, we get
`(1)/(2)`*2*3 which equals 3

The area of a lateral face is 3

Since there are 3 lateral faces, we multiply the area of one lateral face by 3 or 3*3 which equals 9

The area of all the lateral faces are 9

Since we need to find the total surface area, we add the area of the base and all the lateral faces. So:

9+1.7=10.7

The surface area of this triangular pyramid is 10.7 ft²