Question

ASAP! Please help me!!!

Answer 1

Answer:

120 cm³

Step-by-step explanation:

First we have to find out area of the base

$s = \frac{a + b + c}{2}$

$= \frac{5 + 12 + 13}{2}$

$= \frac{30}{2}$

$= 15$

Area of base = $\sqrt{s(s - a)(s - b)(s - c)}$

$= \sqrt{15(15 - 5)(15 - 12)(15 - 13)}$

$= \sqrt{15 \times 10 \times 3 \times 2}$

$= \sqrt{5 \times 3 \times 5 \times 2 \times 3 \times 2}$

$= 2 \times 3 \times 5$

$= 30 \: {cm}^{2}$

Now, let's find the volume of triangular pyramid

$= \frac{1}{3} \times a \times h$

$= \frac{1}{3} \times 30 \times 12$

$= 120 \:$ cm³

Hope this helps..

best regards!!