Question
The sides of a right-angled triangle are in the ratio 12:13:5. If the total perimeter of the triangle is 120 cm, determine its area.
Solution
Perimeter of triangle = 120
12x + 13x + 5x = 120
Or, 30x = 120
So, x = 4
Since, the triangle is right angled, the largest side is the hypotenuse.
So, area of triangle = (1/2) x base x height = (1/2) x 4 x 12 x 4 x 5 = 480 cm2
More Ratio Questions
- A starts a business with Rs. 6600. After 3 months, B joins with A as his partner. After one year the profit is divided in the ratio 4:5. What is B&rsqu...
- Question 2
- A box contains Rs. 930 in coins of Rs. 2, Rs. 5, and Rs. 8 denominations. The ratio of number of coins of Rs. 2, Rs. 5, and Rs. 8 is 6:5:7 respectively. Fi...
- A bag contains 10-paisa, 20-paisa and 50-paisa coins in the ratio of 8:9:10, respectively. If the total amount in the bag is Rs. 38, then find 80% of the n...
- If m : n = 2 : 3, then calculate the ratio (4m + n) : (m + 4n)
- The respective ratio of the number of shops to the number of fans sold in a city was 7:190 in 2016. In 2017, the number of fans sold increased by 20% and 1...
- Aman had Rs. 124 in the form of 50 paise coins, Rs. 1 coins, and Rs. 5 coins. The ratio of the number of coins of each denomination is 3:4:2. Determine the...
- A solution contains alcohol and water in the ratio 3:2. If 15 liters of water is added to the solution, the ratio becomes 3:5. What was the initial volume ...
- Rs. 18,000 is divided among 'X', 'Y', and 'Z' such that one-fourth of X’s share is equal to 20% of Y’s share which is equal to one-sixth of Z’s share. Find...
- A factory produces three types of products: A, B, and C. Initially, the production ratio of A to B to C is 3:4:5. The total number of products produced ini...
Relevant for Exams:
