Question

How many triangles can be seen in this diagram?

A. 1
B. 2
C. 3
D. 4

Answer 1

Hint: The given diagram is a cuboid, where the upper surface is divided into some parts. The upper surface of a cuboid is a rectangle. When two diagonals are drawn in the rectangle, we get four right angled triangles from the rectangle. But here one diagonal is drawn and a line drawn from the midpoint of one length to the midpoint of another length.

Complete step by step answer:
The given diagram is,

We can see that it is a cuboid. And we know that all four faces of a cuboid are rectangle and the other two faces are square. One of the rectangle faces ABCD is divided into four parts. They have used one diagonal AC to split the rectangle into two and a line from the midpoint of one length of a rectangle to the midpoint of another length of a rectangle (i.e., FG).
Now we have 4 parts they are AFE, FBCE, CGE and ADGE.
Our aim is to find how many triangles are there in the given diagram, as we can see that there are four parts. Now we need to find if there are any triangles in these parts.
We know that Triangle has three sides, So from these, we have two parts that have three sides, they are AFE and CGE.
Let us shade that portion in the diagram.

As we can see that these parts are triangles. So, we got two triangles they are AFE and CGE.
Let us see the other two parts FBCE and ADGE.

As we can see that these parts are kind of trapezoidal and not a triangle. Thus, we got only two triangles from the given diagram.
Let us see the options now, option (a) 1 this cannot be a right answer since we got two triangles from the given figure.
Option (b) 2, this is the correct answer since we got two triangles from the given diagram.
Option (c) 3, this cannot be a correct answer since we got only two triangles from the given diagram.
Option (d) 4, this cannot be a correct answer since we got only two triangles from the given diagram.

So, the correct answer is “Option b”.

Note: When a whole image or an object or a diagram of any shape is divided into many parts, we need to first separate the parts one by one. If we want to identify its nature or what shape it is, we have to know about those shapes and its properties so that it will be easy to compare and identify it.