Question

How many triangles can be seen in this diagram?

a. \[3\]
b. \[5\]
c. \[6\]
d. \[7\]

Answer 1

Hint: We all know a puzzle game where we use small parts to make a big picture, likewise now we have a big picture but we need to find the parts which are triangle in shape. We know that triangles have three sides. And there are many types of triangle equilateral triangle where all the sides are equal, Isosceles triangle where two sides are equal and a right-angled triangle.

Complete step by step answer:
From the given diagram we can see that there are two big right-angled triangles.

The shaded portion shows the two right-angled triangles in the given diagram. Now we need to find whether there are any other triangles.

From the above image we can see that there are three more triangles in the given diagram. Let us see the other parts of the given diagram.

From the above image we can see that the remaining part (shaded parts) doesn’t resemble the triangle. Thus, we totally have five triangles in the given diagram.
Let us see the options, option (a) \[3\], this cannot be the correct answer since we got five triangles from the given figure.
Option (b) \[5\], this is the correct answer since we got five triangles from the given figure.
Option (c) \[6\], this cannot be the correct answer since we got five triangles from the given figure.
Option (d) \[7\], this cannot be the correct answer since we got five triangles from the given figure.
Hence, option (b) \[5\], this is the correct answer.

Note: As we see we need to approach this kind of problem as a puzzle game. This will help us a lot to divide the given figure into different parts from which we can find the desired shape we need to find. Like that we divided the given diagram into different parts and found the number of triangles in it.