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
A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?
Find triplicate ratio of 1 : 3
Find the compound ratio of :
3 : 5 and 8 : 15
If x2, 4 and 9 are in continued proportion, find x.
Find the ratio between 3.5 m, 475 cm and 2.8 m
The ratio of the length and the width of a school ground is 5 : 2. Find the length, if the width is 40 metres.
In the example below, find the ratio of the first number to the second.
24, 56
If `x/(b + c - a) = y/(c + a - b) = z/(a + b - c)` prove that each ratio’s equal to `(x + y + z)/(a + b + c)`.
The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.
In the following figure, find the ratio of the area of the shaded portion to that of the whole figure:
