A triangular prism has a volume of 2040 units. The dimensions of the base of the prism are shown below.
1 answer:
Answer:
Height = 21.25 units
Step-by-step explanation:
Triangular prism (with triangular base at bottom) will have volume formula as:
Triangular Prism Volume = area of base * height
We need to find area of base (which is the triangle shown).
We can use heron's formula which is:
Where
A is area
p is HALF of the perimeter (sum of all sides)
a,b,c are the three sides
So p = (12+16+20)/2=24
Now,
Thus,
Volume = 96 * height
2040 = 96 * height
height = 2040/96 = 21.25 units
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Given:
The figure of triangle ABC.
The area of the triangle ABC is D.
To find:
The value of m and n in the given expression.
Solution:
Let h be the height of the triangle ABC.
Area of a triangle is:
Where, b is the base and h is the height of the triangle.
The area of the triangle ABC is D.
...(i)
In a right angle triangle,
[Using (i)]
...(ii)
We have,
...(iii)
On comparing (ii) and (iii), we get
Therefore, the required values are .
