Question

The sides of a triangle are in the ratio of 6:25:29 and its area is 2940m square. Find the lengths of the sides of the triangle.​​

Answer 1

Answer:

a simple question with heron's formula

Step-by-step explanation:

Let's assume the smallest side to be 6x in this case

so the second side will be 25x, and the largest side will be 29x and so the semi perimeter s will be 30x

now if we use heron's formula

$\sqrt{30x (24x) (5x) (x)} = 2940m^{2}$

$\sqrt{3600x^{4} } = 2940m^{2}$

$60x^{2} = 2940m^{2}$

$x^{2} = 49m^{2}$

$x = 7m$

so side1 = 6x = 42m

side2 = 25x = 175m

side3 = 29x = 203m

Answer 2

Step-by-step explanation: