Ncert -Maths- Heron’s Formula – Set A Welcome to your Ncert -Maths- Heron’s Formula - Set A 1. The perimeter of a triangle is 540 m and its sides are in the ratio 12:25:17. Find the area of the triangle.5000m² 9000m² 5000m² 6000m² 7000m² None 2. Riya has a piece of cloth in the shape of equilateral triangle whose all altitudes are equal to 6cm. Find its area. (if each of it's sides are 4√3 cm²) 4√3 cm² 16√3 cm² 12√3 cm² 8√3 cm² None 3. The triangular side - wall of a flyover have been used for advertisements, The sides of the walls are 122 m, 22m and 120 m. The advertisements requires rent of Rs 5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay ? 1750000 1650000 1600000 None of these None 4. If the edges of a triangular board are 15 cm, 36cm and 39cm, then the cost of painting its one of the faces at the rate of 5 paise per cm² is Rs. 13.5 Rs 11.6 Rs. 1350 Rs. 1212 None 5. If △ABC is a right isosceles triangle with hypotenuse AC=10 cm and right angle at B, then the twice of its area is ____.20cm² 20cm² 30cm² 40cm² 50cm² None 6. The area of an equilateral triangle is 4√3cm². The length of each of its sides is 2√3 cm 3 cm 1/2 √3 4 cm None 7. Find the area of triangle of sides 6cm,8cm,10cm 30cm² 12cm² None 24cm² None 8. If the sides of triangle are 4, 5 and 6 cm. Then the area (in sq cm) of triangle is π/4√7 π/4√7 π/4 (15/4) √7 4/15 None 9. If every side of a triangle is doubled, the area of the new triangle is K times the area of the old one. Find the value of K. √2 4 3 2 None 10. Using Heron's formula find the area of a quadrilateral whose sides are 3 cm,4 cm,4 cm, and 5 cm. The angle between the first two sides is 90º 16cm² (6+ 6√7 )cm² 14cm² 18cm² None 11. Use Heron's formula to find the area of a triangle of lengths 5,7 and 8 2√6 10√3 20√3 20√6 None 12. Find the area of a quadrilateral whose sides are 12,5,6 and 15. The angle between the first two sides is 90. (Use Heron's formula)30+2√2805 30+2√2805 30+2√374 30+2√1805 20+2√2805 None 13. Find the area of a triangle whose sides are respectively 150 cm, 120 cm, and 200 cm. 8966.57 sq. cm 8545.77 sq. cm 5627.66 sq. cm 9257.66 sq. cm None 14. Find the area of a field which is in shape of a parallelogram with sides 12 cm and 14 cm and one of the diagonal of length 18 cm. 8 √11 cm² 16 √110 cm² 6 √110 cm² 18 √11 cm² None 15. Each side of an equilateral triangle is 8cm long. Its area is: 32 cm² 64 cm² 16 √3cm² None 16. In an equilateral triangle, 3 coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is? 6 +2 √3 4 +2 √3 12 +(7√3)/4 3 +(7√3)/4 None 17. A traffic signal board, indicating 'SCHOOLAHEAD', is an equilateral triangle with side a. Find the area of the signal board, using Heron's formula. If its perimeter is 180cm, what will be the area of the signal board? 600√3 cm² 900√2 cm² 900√3 cm² 300√3 cm² None 18. The sides of a triangle measures 13cm,14cm and 15cm. Its area is84 cm² 91 cm² 84 cm² 182 cm² 168 cm² None 19. Find the area of equilateral triangle each of whose sides measures 20 cm.173 cm² 120 cm² 153 cm² 173 cm² 150 cm² None 20. Find the area of a quadrilateral whose sides are 3 cm,4 cm,2 cm, and 5 cm. The angle between the first two sides is 90º (Use Heron's formula) (6 +√24)cm² 16cm² 14cm² (14+2) cm² None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.
