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Question

How many triangles are there in the given figure?

The correct answer is

19

To determine the number of triangles in a given figure, a systematic approach is usually followed: Identify the smallest triangles – Count all individual small triangles. Look for larger triangles – Count combinations of small triangles forming bigger ones. Consider overlapping triangles – Check for hidden or overlapping triangles. Apply triangle counting formulas – In some cases, formulas for structured triangular grids or star-like figures help. Since the correct answer is 19, this suggests the given figure has multiple overlapping and combined triangles that sum up to 19.

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Important Questions from Triangles

  1. Two poles, 15 m and 30 m in height, stand upright in a playground. If their feet are 36 m apart, then find the distance between their tops.

  2. How many triangles are there in the given figure?

  3. Find the area (in square cm) of a right angled triangle whose altitude is 7 cm less than its base and its hypotenuse is 17 cm.

  4. In ΔABC, if ∠A = 70° and ∠B = 70°, find the measure of exterior angle A.

  5. Two similar triangles are \( \triangle ABC \) and \( \triangle LMN \). If the area of \( \triangle ABC = 25 \) cm², the area of \( \triangle LMN = 36 \) cm², and BC = 2.5 cm, then the measure of MN (in cm) is:

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