How many triangles are there in the following figure?

2018

How many triangles are there in the following figure?

image.png

  1. A.

    4

  2. B.

    9

  3. C.

    10

  4. D.

    2

Attempted by 51 students.

Show answer & explanation

Correct answer: D

To determine the number of triangles, we identify the distinct triangular shapes formed by the intersection of the lines.

Triangle Analysis
Triangle ADE: This is the smaller triangle formed at the top of the figure by vertices A, D, and E.

Triangle ABC: This is the large outer triangle formed by vertices A, B, and C.

By examining the figure, these are the only two complete triangular shapes formed by the lines provided.

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