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 .
ANSWER
EXPLANATION
A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.
B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.
The third rectangular face has a length of 15 cm and a width of 4 cm.
C) The surface area of the prism is the sum of the areas of the faces of the prism.
The area of a triangle is given as:
where b = base, h = height
The area of a rectangle is given as:
where l = length, w = width
Therefore, the surface area of the prism is: