Answer:
The lengths of all three sides of the triangle are 4.75 units, 9.5 units and 10.75 units.
Step-by-step explanation:
Let the longest side of the triangle is a and the shortest side length is c and the intermediate one is b.
So, a > b > c.
Therefore, the perimeter of the triangle will be, a + b + c = 25 ............. (1) {Given}
Now, given that, a = c + 6 .......... (2)
And, b = 2c ............ (3)
Now, from equations (1), (2) and (3), we get
(c + 6) + 2c + c = 25
⇒ 4c = 25 - 6 = 19
⇒ c = 4.75 units.
So, from equation (2) we get,
a = c + 6 = 10.75 units. and
From equation (3) we get,
b = 2c = 9.5 units.
Therefore, the lengths of all three sides of the triangle are 4.75 units, 9.5 units, and 10.75 units. (Answer)
