Mathematics
Find out the number of acute angles in each of the figures below:
Lines & Angles
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Answer
Figure 1 (Equilateral triangle):
An equilateral triangle has 3 equal angles, each measuring 60°. Since 60° is less than 90°, all three are acute angles.
∴ Number of acute angles = 3.
Figure 2 (Equilateral triangle with an inverted smaller triangle inside, forming 4 small triangles):
When an equilateral triangle is divided by joining the mid-points of its three sides, four smaller equilateral triangles are formed. Each of these smaller triangles has 3 acute angles of 60° each.
Total acute angles = 4 × 3 = 12 acute angles.
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