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Question

How many triangles are there in the given figure?

The correct answer is

13

Let's count the triangles in the given figure. 1. Small triangles: There are 3 small triangles. 2. Medium triangles: There are 3 medium triangles formed by combining two small triangles. 3. Large triangles: There is 1 large triangle formed by combining all three small triangles. 4. Triangles formed by combining the large triangle and the circle: There are 3 such triangles. 5. Triangles formed by combining the circle and the small triangles: There are 3 such triangles. Total number of triangles = 3 + 3 + 1 + 3 + 3 = 13

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Important Questions from Triangles

  1. What is the foot of the altitude from the vertex A of the triangle ABC?

  2. 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.

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

  4. 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.

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

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