Advertisements
Advertisements
Question
The ratio of the shorter sides of a right angled triangle is 5 : 12. If the perimeter of the triangle is 360 cm, find the length of the longest side.
Advertisements
Solution
Let the two shorter sides of a right-angled triangle be 5x and 12x.
Third (longest side)
= `sqrt((5x)^2 + (12x)^2)`
= `sqrt(25x^2 + 144x^2)`
= `sqrt(169x^2)`
= 13x
But 5x + 12x + 13x = 360cm
⇒ 30x = 360
⇒ x = `(360)/(30)` = 12
∴ Length of the longest side = 13x
= 13 x 12cm
= 156cm.
APPEARS IN
RELATED QUESTIONS
In a mixture of 126 kg of milk and water, milk and water are in ratio 5 : 2. How much water must be added to the mixture to make this ratio 3 : 2?
A field is 80 m long and 60 m wide. Find the ratio of its width to its length.
Find: The reciprocal ratio of 8: 15.
Express the given ratio in its simplest form: 22 : 66
Rs. 720 is divided between x and y in the ratio 4:5. How many rupees will each get?
Find the ratio of the first quantity to the second.
99 kg, 44000 grams
If y (3x – y) : x (4x + y) = 5 : 12. Find (x² + y²) : (x + y)².
In an examination, the number of those who passed and the number of those who failed were in the ratio of 3 : 1. Had 8 more appeared, and 6 less passed, the ratio of passed to failures would have been 2 : 1. Find the number of candidates who appeared.
A train takes 2 hours to travel from Ajmer to Jaipur, which are 130 km apart. How much time will it take to travel from Delhi to Bhopal which are 780 km apart if the train is travelling at the uniform speed?
Find the ratio of the following:
500 mL to 2 litres
