sides of a triangle are in the ratio 12:17:25 and perimeter is 540cm. Find its area.
Answers
Answered by
6
Step-by-step explanation:
12x + 17x + 25x = 540
54x = 540
x = 10
sides are 120 cm , 170 cm , 250 cm....
solve in by herons formula....
√s(s-a)(s-b)(s-c)
area will come....
pls mark it as brainliest and follow me...
Answered by
9
[/tex]
Solution →→
ratio of sides
12: 17:25
let them be
12x,17x, 25x respectively
perimeter of a triangle = sum of all sides
540 = 12x,17x, 25x
540 = 54x
x = 10
all sides measure
12x = 12×10 = 120
17x = 17× 10 = 170
25x= 25 × 10 = 250
it's semipetimeter = 540/2
= 270
using heron's formula area of the triangle =
root {(s)(s-a)(s-b)(s-c)}
where s is the semipetimeter and a,b,c
area the sides of the triangle.
root {( 270)(270-120)(270-170)(270-250)}
= 9000cm^2.
Similar questions
Computer Science,
3 months ago
Math,
3 months ago
Math,
3 months ago
Math,
7 months ago
Math,
7 months ago