The base of a triangular field is three times its altitudes. If the cost of sowing the field at Rs 58 per hectare is Rs. 783 then its base is
Take your preparation to the next level with NCERT solutions and MCQ-based questions from Chapter 10: Heron’s Formula. Practice exercise questions, short-answer problems and clear explanations to master concepts like semi-perimeter, area of triangles and dividing quadrilaterals into triangles for area calculations. These resources are crafted as per the CBSE syllabus for effective exam preparation. Consistent practice will enhance your understanding and boost your confidence. Utilize step-by-step solutions and revision notes designed for success. Start now to achieve outstanding results.
Share
Cost = Rs. 783, Rate = Rs. 58/hectare
Area = 783 / 58 = 13.5 hectares = 135,000 m²
Base = 3 × altitude (h)
Area of triangle = (1/2) × base × height
135,000 = (1/2) × 3h × h
135,000 = (3/2)h²
h² = (135,000 × 2) / 3 = 90,000
h = √90,000 = 300 m
Base = 3h = 3 × 300 = 900 m
This question is from Chapter 10, “Heron’s Formula,” in the Class 9 NCERT Mathematics textbook. It focuses on applying Heron’s Formula to calculate the areas of triangles and quadrilaterals, not Probability. Provide an answer based on your understanding of the chapter.
For more please visit here:
https://www.tiwariacademy.in/ncert-solutions/class-9/maths/