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Snezhnost [94]
3 years ago
15

I need help on this question plz

Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Given is triangle with base = 10 cm and perpendicular height = 3 cm.

We know the formula for area of triangle is given by :-

Area = \frac{1}{2} × (Base) × (perpendicular height)

Area = \frac{1}{2} × (10) × (3)

Area = \frac{30}{2}

Area = 15 cm²

So, final answer is 15 cm².

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Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of  triangular prism = Area of triangle \times height

432 = Area of triangle \times8

Dividing both side by 8

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54 =  \frac{1}{2} \times base \times height

54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height

Multiplying both side by 2

108 = 12 \times height

Dividing both side by 12

9 = height

Thus, height of the triangular base of the prism is 9

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