Start learning 50% faster. Sign in now
To find the area of a triangle formed by three points (x1, y1), (x2, y2), and (x3, y3), we use the formula: Area = (1/2) | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) | Substituting the coordinates of points A, B, and C: x1 = 1, y1 = 2 x2 = 4, y2 = 6 x3 = 5, y3 = 1 Area = (1/2) | 1(6 - 1) + 4(1 - 2) + 5(2 - 6) | = (1/2) | 1(5) + 4(-1) + 5(-4) | = (1/2) | 5 - 4 - 20 | = (1/2) | 5 - 24 | = (1/2) | -19 | = (1/2) × 19 = 9.5 Thus, the area of the triangle is: 9.5 Correct Answer: c
A shopkeeper offers a 10% discount on an article and still manages to earn a 12% profit. If the marked price of the article is Rs. 2800, calculate the c...
Profit percentage received on a product when sold for Rs.400 is equal to the percentage loss incurred when the same product is sold for Rs.320. Find the...
Hari purchased 9 bags, 12 shoes, and 15 hats for Rs. 270, Rs. 720, and Rs. 450, respectively, from a seller. By selling each bag and each shoe, the sell...
A shirt is marked 30% above the cost price and sold after a discount of Rs.200 at Rs.398. Find the cost price of the shirt.
A manufacturer sells an article to a wholesaler at a profit of 20%. The wholesaler sells it to a retailer at a profit of 25%, and the retailer sells it ...
The selling price of a mobile phone is Rs. 735. If the mobile phone was sold at 25% profit, then find the discount offered given that the mobile phone w...
A vendor first increased the price of a book by 18% and then by 25%. If he sells it after allowing a discount of 20%, then he will earn a profit of Rs. ...
A, B and C started a business. Twice the investment of A is equal to thrice the investment of B and also five times the investment of C. If the total pr...
A person bought an article and sold it at a loss of 20%. If he had bought it at 10% loss and sold it for 74 more, he would have gained 30%. Find the pro...