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mylen [45]
3 years ago
9

ASAP! Please help me!!!

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

<h2>120 cm³</h2>

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!!

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