answersLogoWhite

0


Best Answer

Let the shortest side be x cm, so that the longest side is 2x cm, and the third side is x + 7 cm. Since the perimeter of the triangle is 39 cm we have:

x + 2x + x + 7 = 39
4x = 32
x = 8

Thus, the lengths of the sides are 8 cm, 15 cm, and 16 cm.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: A triangle has a perimeter of 39 cm. The longest side is twice as long as the shortest side. The third side is 7 cm. longer than the shortest side. What are the lengths of the three sides?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Algebra

Why do certain side lengths not make a triangle?

Because the 2 smaller sides must be longer than the longest side. In other words, a+b>c a and b are the shortest sides and c is the longest side.


Formula for finding the hypotenuse of a triangle?

The formula of the hypotenuse (the longest side of the triangle) is the other two lengths squared and added together.


A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x plus 1. What could be the length of the other side?

The longest side can have a length of 6, 8, or 10 units. It cannot have an odd length. If the third side has to be the longest, the two shorter sides can only have integer lengths of 1 and 2 2 and 3 3 and 4


In a scalene triangle the longest side is opposite the angle with the smallest measure?

Incorrect. The relationships between the angles inside a triangle will be identical to the relationships between the lengths of the sides opposite those angles. For example, take any scalene triangle with the corners A, B, and C. If ∠A is the widest angle, ∠B is the mid-range, and ∠C is the smallest, then B→C will be the longest side, A→C will be the mid-range side, and A→B will be the shortest side.


What is the length of the longest side the perimeter of the triangle is 63 in.?

The perimeter doesn't tell you the length of any of the sides. There are an infinite number of different triangles that all have the same perimeter. The only thing you can tell from a 63-in perimeter is that no side can be 31.5 inches or more.

Related questions

Can the sides of a triangle have lengths of 1.8 7.7 14.9?

No because the sum of its shortest sides must be greater than its longest side to form a triangle.


If a triangle has a perimeter of 75cm The longest side is twice as long as the shortest side The third side is 3 cm longer than the shortest side Then what is the lenght of the longest side is?

36 cm


What It's not possible to build a triangle with side lengths of 3 3 and 9.?

Because the sum of the shortest sides is less than the longest side and in order to construct a triangle the sum of its shortest sides must be greater than its longest side.


Can side lengths of 6 5 and 9 units form a triangle?

Yes they can. Where the shortest sides added together are greater than the longest side, a triangle is formed.


What are the shortest and longest lengths 8m could be in decimals to the hundredths?

Shortest: 7.995 m Longest: 8.005 m.


A triangle has a perimeter of 46 cm the longest side is twice as long as the shortest side the third side is 6 cm longer than the shortest side the length of the shotest side is?

10


The side of a triangle 78cm 20 cm and 22cm find its area?

It is not possible to have a triangle with sides of those lengths. The two shortest sides of a triangle must always add to more than the longest side. This is known as the triangle inequality.


How do i find the Ratio of the shortest to the longest side of a triangle?

You divide the length of the shortest side by the length of the longest side.


In triangle RED the measure of E equals 75 and the measure of R equals 23 choose the side lengths in order from longest to shortest?

Er>rd>ed


Why do certain side lengths not make a triangle?

Because the 2 smaller sides must be longer than the longest side. In other words, a+b>c a and b are the shortest sides and c is the longest side.


What do the side lengths on a right triangle add up to?

There's no general rule or pattern to that. The rule/pattern of the side lengths on a right triangle is: (the square of the length of the shortest side) plus (the square of the length of the medium side) adds up to (the square of the length of the longest side)


Can you arrange three straight sticks of lengths 5cm 12 cm and 19 cm be arranged into a triangle?

No, the two shortest must add up to more than longest!