Question

ASAP! Please help me!!!

Answer 1

120 cm³

Explanation:

First we have to find out area of the base

`s = (a + b + c)/(2)`

`= (5 + 12 + 13)/(2)`

`= (30)/(2)`

`= 15`

Area of base =
`√(s(s - a)(s - b)(s - c))`

`= √(15(15 - 5)(15 - 12)(15 - 13))`

`= √(15 * 10 * 3 * 2)`

`= √(5 * 3 * 5 * 2 * 3 * 2)`

`= 2 * 3 * 5`

`= 30 \: {cm}^(2)`

Now, let's find the volume of triangular pyramid

`= (1)/(3) * a * h`

`= (1)/(3) * 30 * 12`

`= 120 \:` cm³

Hope this helps..

best regards!!