Find the volume for this shape

The area of this triangular prism is equal to

Step-by-step explanation:

As it says in the question, the formula for the volume of this shape (triangular prism) can be found by the following formula...

(where B is the area of the triangular base, and h is the length between the two triangular bases of the prism)

Now we need to find out to what B equals to. In order to do this we need to know that area of a triangle can be found by using the following formula...

(where "b" is the base of the triangle, and is the height of the triangle. Now we just substitute the values and get...

Now that we know what B equals, we just substitute the values in the first formula and get...

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.