the triange is 31cm, side 1 and side 2 have equal lenghts, while side 3 is one centimeter shorter than twice then length of side 1, how long is each side?
What part of the triangle is 31 cm? The perimeter? Side 3?
3rd side= 2x 1st side(shorter)
1st side=2nd side
2x+2x=31
4x=31
x=31/4=7.75
3rd side= 2*x-1
2*7.75-1= 14.5
1st side and 2nd side= 14.5
3rd side=2cm
Ans. 14.5cm, 14.5cm, 2cm
To find the lengths of each side of the triangle, let's assign variables to the lengths of the sides.
Let's say the length of side 1 is x cm.
Then, side 2 would also be x cm since they have equal lengths.
And side 3 would be (2x - 1) cm as it is one centimeter shorter than twice the length of side 1.
According to the information given, the sum of the lengths of all sides in a triangle is equal to 31 cm. So we can write the equation:
x + x + (2x - 1) = 31
Simplifying the equation, we have:
4x - 1 = 31
Adding 1 to both sides:
4x = 32
Dividing both sides by 4:
x = 8
Therefore, side 1 (x) and side 2 (x) are both 8 cm, and side 3 (2x - 1) is (2 * 8 - 1) = 15 cm.
So, each side of the triangle is:
Side 1 = 8 cm
Side 2 = 8 cm
Side 3 = 15 cm