Extra Hot Questions with Solutions Part 3 | Class 9 | Heron’s Formula | Infinix Classes

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In this video, we cover Heron’s Formula – Chapter 10 (Class 9 Maths, NCERT/CBSE/Board Exam) where we solve Part 3 of Extra Hot Questions with complete step-by-step solutions. These are important questions for school exams, board exams, NTSE, Olympiad, and competitive exams.

🔹 Topics & Questions Covered in this Video:
1️⃣ Find the area of a trapezium whose parallel sides are 77 cm, 60 cm and the other two sides are 25 cm, 26 cm.
2️⃣ If each side of a triangle is doubled, find the ratio of the area of the new triangle to the original triangle. Also, find the % increase in area.
3️⃣ A triangular park in a city has sides 100 cm, 90 cm, and 110 cm. Grass is to be planted at ₹4000 per hectare. Find the cost. (√2 = 1.414)
4️⃣ A trapezium plot has parallel sides 50 m, 35 m and non-parallel sides 30 m, 35 m. Prove that its area is (1700/3)√3 m².

📖 This lesson is explained in simple language with clear explanations and easy solutions so that students can score full marks in exams.

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13) Find the area of a trapezium whose parallel sides are 77cm, 60cm and the other two sides are 25cm and 26cm.
एक समलम्ब चतुर्भुज का क्षेत्रफल ज्ञात कीजिए जिसकी समान्तर भुजाएँ 77 सेमी, 60 सेमी तथा अन्य दो भुजाएँ 25 सेमी और 26 सेमी हैं।


15) If each side of a triangle is doubled, then find the ratio of area of the new triangle thus formed and the given triangle. Also find the percentage increase in area.
यदि किसी त्रिभुज की प्रत्येक भुजा को दोगुना कर दिया जाए, तो इस प्रकार बने नए त्रिभुज के क्षेत्रफल और दिए गए त्रिभुज के क्षेत्रफल का अनुपात ज्ञात कीजिए। क्षेत्रफल में प्रतिशत वृद्धि भी ज्ञात कीजिए।


16) A triangular park in a city has lengths of sides as 100cm, 90cm and 110cm. A contract is given to a company for planting grass in the park at the rate of ₹ 4000 per hectare. Find the amount to be paid to the company. ( √2 = 1.414 )
एक शहर में एक त्रिभुजाकार पार्क की भुजाओं की लंबाई क्रमशः 100 सेमी, 90 सेमी और 110 सेमी है। पार्क में घास लगाने के लिए एक कंपनी को ₹4000 प्रति हेक्टेयर की दर से ठेका दिया जाता है। कंपनी को दी जाने वाली राशि ज्ञात कीजिए। (√2 = 1.414)


17) A piece of land is in the shape of a trapezium whose parallel sides are 50m and 35m. The non-parallel sides are 30m and 35m. Prove that the area of the land is
𝟏𝟕𝟎𝟎/𝟑 √𝟑 𝒎^𝟐
एक ज़मीन का टुकड़ा समलम्ब चतुर्भुज के आकार का है जिसकी समांतर भुजाएँ 50 मीटर और 35 मीटर हैं। असमांतर भुजाएँ 30 मीटर और 35 मीटर हैं। सिद्ध कीजिए कि ज़मीन का क्षेत्रफल 𝟏𝟕𝟎𝟎/𝟑 √𝟑 𝒎^𝟐 है।